summary topic FOR pilots REFRESHMENT
Air Space
Lateral limit – ON Charts
Upper Space / UTA
Upper airway Vertical limit from fl 250 to unlimited
Wide – 43 nm narrowing 216 nm before radio fix becoming 21,5 nm over
Between two radio fix of 108 nm = 21,5 nm wide all the way
RNAV routes only in upper air space w/ upper airways wide sizes
Lower
space CTA / TMA / ATZ Vertical limit from ground to fl 245
Lower airway vertical limit
from 500 ft below lower fl to fl 245
Wide – 16 nm narrowing 54 nm before radio fix becoming 8
nm
over
Between two radio fix of 54 nm = 11 nm wide all the way
Fly information region
vertical limit from ground to unlimited
Pilots shall maintain a straight fly between
fix, despite the airway wide
Crossing Airways or Advisory Routes
Aircraft flying off airway within the lower airspace, approaching airway or
advisory route crossing points which are unable to maintain two-way radio voice
communication with the appropriate air traffic control in order to receive a
crossing clearance shall climb in route so as to reach and maintain
above fl 250 [In Upper Airspace]
500 ft above cruising level, when flight level is below fl 290 and
1000 ft when flight
level is fl 290 or above and maintain this level from 32,5 nm
up
to 32,5 nm then return to the cruising level
below
fl 245
[In Lower Airspace]
500 feet
above cruising level from 20 nm up to 20 nm then return to the cruising level
Air Trafifc Services ATS - Will be provided by ACC - CTA; APP
-TMA or TWR -ATZ
Traffic separation; Flight information; Essential Traffic; Flight direction; Aircraft type; Level
Universal time coordinate of 24 HS - GMT
Alert fases
Incerfa
No communication within 30 min, Time estimated to arrive or a communicate a
position!
Alerfa after inserfa fase or aircraft not land in 5 min when cleared; or aircraft operation condition is abnormal but not critical; Highjaking
interference
Detresfa After alerfa , Aircraft is supposed to be in danger; Fuel not enough for landing !
If Destination, Has not ATC Services, The responsibility is the owner !
Conditioned Air space
Prohibit Areas // Danger Area
// Restrict Area - [flight condition]
SBP 512 Brazil Prohibit Area - 5 Comar - 12 Space
Legislation
A) Interdiction - Techniques Irregularity
[military action / president opr]
B) Detention - Criminal Intention
Landing on irregular
airport; Rules and agreements
Violations
A)
Negligence -Not taking
enough care w/ knowledge
B)
Impudence -Disrespect
to rules and safety
C)
Unskilled -Lack of
skills
morse radio phonetic alphabet

Signals
from tower
Color type people /vehicles aircraft ground aircraft flying
Green steady clear cross clear
TO clear land
Red steady maintain pos maintain
pos give way
Red flashing keep away keep away do not land
White flashing return return land
Pyrotechnic Red Despite if cleared -
not land
Convergences 
Any Aircraft which has another on its right shall give way so as to keep
well clear.
Aircrafts facing each other - both shall turn right
Aircraft Lights

Endurance
– shall be enough for:
Regular Airline in any flight even though international
-flying to destination more 10% of the time
-flying the farthest alternate and flying 30 minutes more at holding speed
(maximum endurance) at 1500 feet above the alternate aerodrome elevation under
standard temperature conditions
Domestic flight
-flying to destination aerodrome - proceeding to the farthest aerodrome;
-and flying more 45 minutes at cruising speed
Vfr flight endurance
-flying to destination aerodrome - proceeding to the farthest alternate
-flying 45 minutes more with normal cruising consumption
Local Vfr
-the flight time foreseen and then flying 45 minutes more
Reclearance Flight Plan
-flying to destination aerodrome without 10% of trip fuel at departure for the
total plan. However at reclearance point the aircraft must have got enough fuel
to finish the flight with 10% of the time

Atc communication
lost
On visual conditions - Land on nearest suitable airport and inform Atc.
On instrument conditions - Follow the Flight Plan ; Adjust the flight to
arrive on time at destination; Make the approach and land within 30 min after
estimating Arr!
Visual
Flight Rules
Visual flight -
The Pilot shall provide his own separation
Vfr flights will simultaneously and continuously mantain : -
Reference with the ground more than half of de
pilot’s vision reference
Visibility equal to or above 5 Km and 8 Km
above FL 100
Distance not less than 1500 meters horizontally and 1000 ft
vertically from meteorological formation
Below fl 150 // maximum of
250 Kts below fl 100
or 380 Kts above fl 100
Special Vfr
- aircraft shall maintain two-way communication with the appropriate control units, and
meteorological conditions at departure and destination aerodromes must have ceiling not below 1000 feet and visibility not below 3000 meters.
Night Vfr
-
the pilot must have the Ifr license; so that the aircraft be certify to fly Ifr
-
The airports must be certified also ATC in
operation or when flying inside of - ATZ ; CTR TMA, or radius of 27 NM
from the Dep Airport.
Traffic Pattern is left
turns Down wind leg - 1000 ft For small and lights aircraft
1500 ft for heavy
aircrafts
Instruments flights rules
Vfr to Ifr - Require radio
communication
"PP..." rq Ifr flight
plan wp 1230 awy arr wp 1340 alt wp endurance 0300hs
Pilots responsibility to find out the minimum level to fly off airways
Higher altitude taking 16 nm to each side of the route add higher Qne
correction; add 1000 ft and take the flight level immediately above. Over Mountains regions add 2000 ft.
Separations

Vfr
(+ 500ft)
Ifr minimum vertical separation shall be - 1000 ft below FL 290; 2000 ft above FL
290 up to FL 450; 4000 ft above FL 450
Separation of 1000 ft for FL between
290 and 450 RVSM Space - [reducer vertical separation]
Minimum longitudinal separation shall be
30 minutes between aircraft flying over the Atlantic Ocean // 20 minutes associated with the Mach
number technique application
Transponder
- equipment working, when flying shall maintain it in
action during all the time of the flight, being within radar coverage airspace
and shall select their equipments on Mode 3/A as follows:
code 2000 – before receiving ATC unit instructions:
code 7500 – under unlawful interference:
code 7600 – with communications failure; and
code 7700 – in emergency [ mode C ]
When the aircraft is equipped with Altitude Alert, the pilot shall maintain it
constantly in action .
The pilot shall read back the whole of all texts of clearances or instructions,
received from the Atc units, such as the mentioned below: - Clearance to enter a
runway in use; - Clearance to land; Clearance to take off; - Clearance to cross
a runway in use; - Clearance to return by the runway in use;
Conditional
clearance - Flight level or altitude clearance; - Heading and speed
instructions; -Altimeter setting instructions; - and SSR codes instructions
An aircraft under radar vectoring or surveillance is exempted from reporting:
a) the compulsory reporting points;
b) when it reaches or leaves a holding fix; and
a) when it enters a new phase or leg or a departure procedure.
The aircraft must report again when it is informed that radar contact has
been lost or the radar service has been closed.
Frequency Air – Air 130.55
Aircraft over flying airports without Atc in lower airspace shall maintain
attention inside 27 nm of radius for coordination.
Emergency Alerts
Always in trouble , the pilot must advise the Atc .
Yellow [bomb]
Possibility of disaster Pan , Pan; Identification ; problem ; intention
Red
Disaster Unavoidable Mayday, Mayday; Identification ; problem ; intention
International silence periods are observed from 15 up to 18 and 45 up to 48
minutes past the hour. Distress calls when transmitted on emergency frequencies
121.50 will therefore have a better chance of being intercepted during these
periods.
A Pilot at
the scene of a disaster or intercepting a distress call message, must report to
the Atc the following information; type of the craft in distress identification
and condition; its position, expressed in geographical coordinates; number of
persons; apparent physical condition of survivors; act as instructed by
Rescue Coordination Center if possible
Reporting of Air Traffic Incidents
“Air traffic incident” is used to mean a serious occurrence involving air
traffic such as: - near collision; a collision risk
Flight Plan
Local flights -
Vfr flights executed totally
within Atc; Ctr or Tma and those that do not go far beyond 27 NM from the
aerodrome of departure. Such flights May fill
the flight reporting form.
Less than 30 min on ground, the pilot, still in
flight may submit the next flight plan to the Atc, such procedure does not
exempt the pilot from duty of filing the flight plan, after landing
Less than 40 min on ground, The
Pilot should file as many flight plan forms as the stops
Submit a flight plan on ground - Till 45 min to Dep
in flight - till 5 min before Fix
Flight plan is void if not off by 45 min for take off or 5 min after cleared
Before Start Engines the Pilot should call Atc for Flight Plan Clearance and
Start up The Engines have to be Started in 5 min after that and the Taxi out has to be initiated in 5 min after Start up Clearance
Inform Atc changes in flight plan if fix report is delay more than 3 min or 5%
Fir inform position after 30 min then after each every hour
Aircraft category by Turbulence
stream light --- Mtow below 7 000 kg
[15.500 lbs]
Medium --- Mtow 7 000 kg to 136 000
kg
Heavy --- Mtow 136 000 kg or more
[300.000 lbs]
Position messages.
Over compulsory fix position on
charts. No longer than 30 min - On routes with no definition points and then
not lather than 1 h time; Boundaries areas or when meteorological conditions
is needed of Special AIREP !
air-reports
1 and such parts of Section 3 as are appropriate, are required from all aircraft
operating on international air routes, as follows:
(a)
whenever severe icing
or severe turbulence is encountered; or
(b) whenever moderate turbulence, hail or cumulonimbus clouds are encountered
during transonic or supersonic flight; or
(c) whenever other meteorological conditions such as the other phenomena
included under the definition of Sigmet information are encountered which in
the opinion of the pilot-in-command are likely to affect the safety or markedly
affect the efficiency, of other aircraft operations.
The term
“Sigmet information” refers to the following phenomena
At subsonic cruising levels:
Active thunderstorm are Severe icing Tropical revolving storm Marked mountain waves
Severe line squall Widespread sandstorm / dust
storm Heavy hail Severe turbulence
Section 1 Section 2
Air craft identification Estimated time of arrival
Position Endurance
Time Air temperature
Flight level or altitude Spot wind
Next position and time over Turbulence
Turbulence
. Despite the aircraft size .
Moderate – There may be
moderate changes in aircraft attitude and or altitude but the aircraft remains
in positive control at all times. Usually, small variations in air speed.
Difficulty in walking. Occupants feel strain against seat belts.
Loose objects move about.
Severe – Abrupt changes in
aircraft attitude and/or altitude; aircraft may be out of control for short
periods. Usually , large variations in air speed. Occupants are forced
violently against seat belts . Loose objects
are tossed about. V /v > 40 kts . When facing these situations , put auto system on proper module or fly
horizontal instruments attitude manual, and do not changes power, allow it to
go back and forth!
Structure G force
up
to 2,5 G - temporary deformation
2,5 à 3,75 G –
permanent deformation
above 3,75 G –
fracture
ICING
The following specification apply:
Moderete – change of heading and/or altitude may be considered desirable.
Severe – immediate change of heading and/or altitude is considered essential
Supplementary information
Meteorology forecast and conditions
for approach
ceiling
visibility
Cavok 5.000 FT / up 6 NM / up
Open 1.500 FT-5.000 FT 3 NM-6 NM
Operational
750 FT-1.500 FT
2 NM-3 NM
Marginal Minimum 750 FT Minimum-2 NM
Closed Below minimum Below minimum
USA
Meteo Report (Sample)
Sky-cover - Visibility-obstr - Temp - Wind - Altimeter - Obs
M 400 OVC (1) V 3 RAIN 86 E 10 29.80 thunderstorm
N/E
E BKN (.5) FOG Low
visibility in progress [mean Cat II]
SCT (.25) HAZE
OVC (overcast) 8/8 sky cover BKN
4/8 SCT 2/8 [Few 1/8]
RVR 50
or 1 NM
RVR 24 or ½ NM
RVR 16 Means Visibility of 1.600 ft
Icao Tafs - BR = Brume; FG = FOG;
HZ = Haze; FU = Smoke

LO
pressure in South hemisphere - clockwise converge
North
hemisphere is the opposite
Terminal Areas - Holding
Aircraft should enter and fly, the holding patterns in speeds and times equal
or lower than the following: Level and altitude changes, in holding , must be
executed at a climb and descent rate within 500 and 1000 feet per minute
Standard Pattern [right turns] or Non Standard Pattern [left turns]
Tear Drop entry below fl 140 [36º angle time is 60"] so if tear drop entry is 30º
time is 1 min 10"
Aircraft
should enter and fly the holding patterns at speeds and times equal or lower
than the following but -
You may only shortly the time track never take longer!


Minimum hold level - Immediately
the next higher than transition level .
Altimeter
setting
Departure - Altitude will be reported till altimeter adjusted to 1013 (Qne)
at crossing transition altitude Approach - Altimeter adjusted at transition level to local pressure (Qnh)
Aircraft category by approach speed [1.3 Vso. /MLDW]
A < 91 kts
B 91 kts / 120 kts
C 121 kts / 140 kts
D 141 kts / 165 kts
E > 166 kts
IRS General Theory
The IRS provides basic Headings and Attitude reference information by
utilizing computations based on accelerometers and laser gyro sensed signals .
Three accelerometers and three laser gyros are used . The accelerometers are of
the strap-down type and are positioned in the inertial reference units so that
they are oriented along the Y , R and P axes of the airplane . This orientation
allows the IRU to sense accelerations along each of the three axes . The three
laser gyros are also of the strap-down type and are positioned to sense pitch ,
roll , and yaw rotation around the Y , R and P axes .
Computer manipulation of the signals from all six sensors provide the
basic heading and attitude reference signals along with present position ,
accelerations , ground speed , drift angle and attitude rate information .
The first requirement which must be met for proper IRS operation is alignment .
IRS alignment basically consists of determination of local vertical and True
North
Radar separation will be of 5 nm. On terminal areas may be of 3 nm
Speed adjusts Expect the pilots keep up the requested speed , within more or
less 10 kts
Maximum speed in aerodrome traffic to intercept the final approach is 180 kts
// 250 kts in TMA / CTR areas but may be increased above FL 100 in
accordance with Approach
Control
Criterion
for approach
Arrival time in 30 min - APP preparation and landing planning
Briefing for landing must contain
the Atis
weather information and runawy in use for approach //
go around procedure
// ground operation to gate
Heavy aircrafts - Slats at mms at
20 nm /
6000 ft height //
10 nm - approach flaps for final intercept
Precision approach and the
specific cat ii or iii
ILS
CATEGORY I " DA
"
Barometric
- Altimeters operations
"DA" DECISION ALTITUDE
- not less than 200 ft and visibility 2400 ft [800 mts] ½ nm
Localizer must work for approach
Operational restrictions - FOR CAT I
If glide slope out of service - DA shall be the MDA for NDB / VOR to the same RWY
MM and NDB coupled out of service - Then add 500mts to
visibility, and 100 ft to ceiling,
But no changes if - VASIS or ALS
[approach Landing System] in operation.
OM out of service - other facility must help to
intercept the Localizer 3 to 5 nm
away from OM fix.
Cat I Procedure
For
marginal meteorology operations, the co-pilot perform the A/P approach, and at 100 ft to minimum,
the captain monitor outside and at
DA on visual contact
take over and accomplish the landing
watching
the ALS - white
aligned; green transverse on threshold; then RCLL - runway center
line and lights whith runway edge lights system;
might have red transverse at the end
ILS CATEGORY II " DH
"
Radio
- Altimeters operations
"DH" DECISION HEIGHT - not less than 100 ft and visibility of 1200 ft [400 mts] ¼ nm
Operational
restrictions
- FOR CAT II
Full ILS and all Facilities must work
Cat II Procedure
Co-pilot watch FMC information on instruments and continue till after landing
Captain perform autopilot and 100 ft to minimum monitor outside allowing the AP makes the landing!
watching the
ALS - white
aligned; red transverse; green transverse on threshold; then RCLL - runway
center line and lights - white aligned
no matter the rwy lenght; [last 3000 ft] 2000 of whites
and
reds; finally last 1000 - only reds

RELS - runway edge lights system
, same pattern RCLL
AQUAPLANE -
Happen when the speed in NM is 9 times the square root of tire pressure. Slippery is different!
Observe, auto land wind component limits - 25 kts lateral / 10 tail / 15 head
Speed add ½ of longitudinal component plus gust, but the add limit to Vref is
20 kts
Non Precision approach
"MDA"
" MDA " MINIMUM DECISION ALTITUDE
Barometric
- Altimeters operations may
follow up the profile of the precision approach procedure. But
different radios facilities. Observe distance,
heights; same gradient. When flying visual on final, turn off the F/D system.
Wide Bodies


Wide Body
Aircrafts - Back track
on runways without exit -To make
the turning at the end of the runway safety, the projection of turn center on ground, is in the middle of the inside wing. Therefore only the nose
wheel should go along the wide area avoiding one main gear comes out

Maximum Taxi speed 25 kts; turning 10 kts [wet 5 kts]
Pull Up decision
Pull up if at 500 ft up to 300 ft if lOC deviation > ½ dot or G/S deviation >
1 dot threshold is the limit.
Do not pull up after touchdown with auto brakes observe speed brake deploy, reverses,
brakes at last shut down engines
if necessitate.
Go Around after
OM established on ILS - set G/A HDG and G/A altitude
Be able to apply
power pitch up of 15º lower the attitude to 12 ½ if one engine is missing - APP Flaps; Gear up; climbing
till go around altitude
with approach flaps till go around altitude directly even though one
engine is missing. But You have to make
a step climb at acceleration height for clean up for
best climb performance - if
above MLDW and one engine is missing -
following the
chart procedure.
Planning for Take Off, before start engines
Briefing must contain
Atis; Wx Rwy conditions; TO mode; Acceleration Height; Taxi from gate to the
Hold point;
Stand instruments departure; Noise abatement; Min safe altitude; Transition Altitude; Consider alternate aerodrome if TO below minimum
or on ice condition or heavy weight x Short runways V1 must lean on VMC
and
Procedure in case of Return
- If necessary the pilot might
land on overweight - The landing distance is always less than the
distance for same weight to take off For an emergency situation focus survive being at
the safe side!
On fire do not make fuel dumping!
If lose one engine of the two,
think as well as fire!
Obs - BW + MPL = ZFW; MLDW and MTOW - These weights are for seeking limits in order to protect
the long life of the aircraft structure,
due
to
airlines schedule flights.
in taxi out to the Hold Point 50 mts [30 mts for rwy
less than 900 mts]
Briefing must contain
Left hand TO with flaps___, I will apply initial power w/ auto throttle on . Power
will be confirmed by 80 kts Any malfunction before 80 kts, we can abort for any reason, after and up to V1
only if one engine failure, confirmed by two parameters, or acceleration
interrupted, then I will call "Abort" and carry out the action ,
applying maximum brakes, closing throttles, full reverses. ___ monitor spoilers deploy
and reverses After V1 w/ gear up but not less than 400 ft I will call for
appropriated actions!
If TO is performed by co-pilot as soon the plane pass through 80 kts the
"abort" must be accomplish by captain!
Average TO
atitude pitch up 17 ½; if lose one engine, immediately pitch
down
to 12 ½.
Take Off
at or below
minimum Ifr - in terms of ceiling and visibility, are the same as those prescribed
for landing contained in IAL Charts for the active runway. Take off, under conditions below minimum,
consider an alternate
take off aerodrome. be aware if one engine is lost, aircraft must be able to accomplish
the climb rate on SID, and reach the lower IFR level in order to proceed !
Below minimum the landind is at capt discreption
Initially after
take off - stop climbing at altitude restriction, always! Do not
rush!
Noise Abatement
1500 ft climb thrust; 3000 ft V/S 1000 ft flaps /Slats on schedule.
Segments
First L off - Gear up
Second Gear up - 400 ft [Eng Loss ID /Procedure]
Third 400 ft - Flaps / Slats retract
Fourth 0o retract - 1500 ft
Ice
Conditions - use of
A/Ices system
For Take Off
with present humidity
OAT less than 10º C
Visibility less than 1 nm [50] or OAT minus Dew point < 2º C
Engines A/Ice must be ON - after engines have been started and stay ON for taxi
and TO
On critical weather - when temperatures are among minus 10º
up to
0º C
- on marginal runway with ice consider V1 lean on VMC for TO
and - In flight Wings anti Ice should be turned ON after
engines A/Ice is ON then after climb power and before flaps or and Slats retracted
In flight
within present humidity
-
TAT minus 15º up
to 10º
Continuous IGNITERS must be ON so as to turn the engines and the wings A/Ice - ON
In flight wings may be switched OFF - after Flaps and Slats is
retracted.
On approach for Landing A/Ices can be leaving ON for landing - The safety SW
will turn it off automatically, or in case of pull up for go around it will be
properly ON
On ground - Do not retract Flaps/Slats after land till
visual check.
Wing System are used
primarily as DE-ICE
Engines A/Ice will be automatically turned ON in case of loss Electric System in
flight. The same does not occurs for wing and antenna.
TRIGONOMETRY

Trigonometric
approach
-
Aircraft
meteorology radars utilize references lines of 30º; 45º and 60º making easy to
imagine the lateral distance to fly on off set route, so as to avoid heavy
clouds ahead.
As a general rule of
thumb,
taking a
distance
upon a point on reference line
either 30º right or
left,
the lateral distance for fly on off set route is 0.5 [50%]
of that distance
- So you
may ask
ATC to fly ... miles on the right or left and
remain well for…. nm ahead. The same way for
lines
angles of
45º,
but
is [.7] 70%
Lateral wind component on
final approach -
The wind direction and velocity given as a final result vector, make with the runway an
angle that
one can determine
two components.
Quick lateral wind [velocity] component value for
angles
of
30º is
[.5]; more and till
45º is [.7];
more and till
60º is [.9]
/ More than
60º
consider
the total wind velocity value given!
Example - angles among
30º and
45º the maximum lateral component - take the 70% of the original wind velocity - suppose
an original wind velocity of 20 kts - then the maximum lateral wind velocity component
shall be around 14 kts
Video Youtub
ATMOSPHERE
The atmosphere is a layer of gas which surrounds the earth. The composition of
the atmosphere is relatively constant . Nitrogen 78% Oxygen 21% Carbon
Dioxide and rare gases 1%
Nitrogen
- - - - - Nitrogen makes up
the larges portion of atmospheric pressure. The gas itself is useless as far as
the human body is concerned. However, under conditions of low pressure this gas
may cause serious physiological troubles. Most of us are familiar with the term
“bends”. These are pains which occur primarily in the joints of the body and are
attributed to nitrogen coming out of solution whenever the normal pressure
around the body is greatly and rapidly lowered. The “bends” rarely occurs with a
rapid drop in air pressure below altitudes of 25,000 to 30,000 feet and should
not be a problem in airline operations.
Oxygen
- - - - - This odorless gas
is essential for life. When the body is deprived of oxygen, serious
complications or death follows a short time later. Each time we breathe, 21% of
that breath is oxygen. In the lungs this gas is absorbed into the blood and is
carried to all parts of the body and is used to burn or oxidize food material
for the production of heat and energy.
Pressure Characteristics of the Atmosphere
The layer of gas
(atmosphere) surrounding the earth is affected by the earth’s gravitational
pull. We are all familiar with ways we express atmospheric pressure such as 14.7
pounds psi, 29.92 inches of mercury or 760 millimeters of mercury.
Because the absorption of oxygen in the blood is dependent upon the differential
pressure inside the lungs and atmospheric pressure, it is important to remember
the density ratio of atmospheric pressure at various altitudes.
These
are average T.U.C.´s. One’s tolerance to hypoxia varies considerably from time
to time. Intake into the lungs of carbon monoxide from excessive smoking, or
other sources, greatly reduces available oxygen to the body tissue. Alcohol in
the system, even though consumed as long as 18 hours previously poisons the body
cells and interferes with the utilization of oxygen. Fatigue lowers one’s
tolerance. The athletic, physically fit individual has a markedly higher
altitude tolerance that the overweight person. O2 consumption of the overweight
no athletic person is also greater during periods of stress.
CG CP

MOMENTOS
O
princípio da alavanca estabelece que uma pequena força, aplicada a uma grande distância
do ponto de apoio, levantará um grande peso, cujo
centro de massa esteja a pequena distância desse ponto de apoio. Quando uma barra sólida
é equilibrada sobre o bordo de uma faca e nas suas extremidades penduram-se pesos,
observa-se que um peso de 12 quilogramas, suspenso a um metro à direita do ponto de
apoio, equilibra-se com um peso de 6 quilogramas, suspenso a dois metros à esquerda do
ponto de apoio, ou por um peso de 4 quilogramas suspenso a três metros à esquerda do
ponto de apoio.
Chama-se momento de uma força em
relação a um ponto ao produto da intensidade da força pela distância desse ponto à
direção da força, distância esta que é medida pela perpendicular baixada do ponto
sobre a direção da força. Diz-se que o momento é positivo quando a ação da força
tende a produzir um movimento em torno do ponto, no sentido do movimento dos ponteiros do
relógio. O momento é dito negativo no caso contrário.
Para que haja equilíbrio, é necessário que a soma algébrica de todos os
momentos que atuam sobre um mesmo ponto seja igual a zero. Voltemos ao exemplo anterior, no qual 12 quilogramas foram pendurados a um metro à
direita do ponto de apoio. Uma vez que o peso atua para baixo e à direita do suporte, ele
tende a produzir um movimento no sentido da rotação dos ponteiros do relógio. Por isto,
o momento é positivo, levando o sinal +. A distância da força ao ponto de apoio, em
torno do qual se produz o momento, chama-se braço
do momento ou de alavanca que, no caso presente, é de um metro. O momento da força
em relação ao ponto de apoio é + 12 metros quilogramas. Este momento será equilibrado
por um momento de 12 metros quilogramas. Este
momento negativo pode ser produzido, seja por uma força de 3 quilogramas atuando para
cima, 4 metros à direita do ponto de apoio, ou por uma força de 4 quilogramas atuando
para baixo, 3 metros à esquerda do ponto de apoio ou, ainda, por uma força de 1
quilograma atuando horizontalmente para a esquerda e 12
metros para cima do ponto de apoio; ou, ainda, outra qualquer combinação de
força e braço de momento que produza 12
metros quilogramas e que tenda a imprimir uma rotação no sentido inverso ao do movimento
dos ponteiros do relógio.
VETORES
Chama-se vetor toda grandeza que tem intensidade e direção.
Quando
se representa uma força, deve-se indicar a intensidade e a direção na qual está
atuando. A força é, por isto, uma grandeza vetorial. A velocidade é a
distância percorrida na unidade de tempo; todavia,
freqüentemente esquece-se de considerá-la um vetor. Ela só é considerada
vetor quando se refere a uma direção dada. Todas as vezes que se usa a palavra
velocidade, ela especifica não só a grandeza do movimento em dado tempo,
como também a direção na qual está se dando este movimento.
COMPOSIÇÃO DE FORÇAS
Quando
duas forças estão atuando exatamente na mesma direção, isto é, quando suas linhas de
ação coincidem, podem ser somadas ou subtraídas diretamente. Qualquer ação produzida
por estas duas forças, atuando ao mesmo tempo sobre um corpo, é equivalente à ação de
uma só força, cuja intensidade é igual à soma algébrica das intensidades das duas
forças. Esta força única chama-se resultante
das outras duas. As duas forças chamam-se
componentes.
Quando duas forças, de intensidade e direção iguais, atuam em sentidos opostos sobre um
corpo, a resultante é nula.
Quando duas forças atuam
sobre um ponto mas, as suas linhas de ação não coincidem, procede-se da seguinte
maneira; - constrói-se um gráfico no qual cada força é representada por
uma reta que indica não só o sentido em que a força atua, como também a sua
intensidade, em uma escala previamente estabelecida. Na extremidade da reta, coloca-se
sempre uma ponta de seta para indicar o sentido em que a força atua. Constroem-se sempre
o diagrama de modo que as força se afastem do ponto de encontro.
Da extremidade oposta de cada reta que
representa uma força, traça-se uma reta paralela à outra força, formando-se assim um
paralelogramo. Traça-se a diagonal que,
partindo do ponto de aplicação vai ao vértice oposto. Esta diagonal representa a força resultante.
A força resultante, ou simplesmente a
resultante, é uma só força que produz exatamente, o mesmo efeito das duas forças
originais, atuando sobre o ponto de aplicação. A intensidade da resultante é obtida
usando-se a mesma escala que se adotou para as duas forças originais ou componentes; e a
sua direção é obtida aplicando-se um transferidor sobre o diagrama .
C. Vitae
Cyro A F Jr
*adrress*
AV Bandeirantes 11503 - cond Acacias
VARGEm pequena -
rio de janeiro zip
22783 116 -
Rj - Brazil
Fone +55 2177267611 /
24375728 / 2297172873
blackwolfcapt@gmail.com
*Personal
Data*
Date and
Place of Birth - may 12, 1942 -
Brazil
Male; White; Height
[1,73 m] 5 ft 7 inch
//
Medical First Class File
*Education*
military Hi School
-
English -
read / write and speak
Airline Transport Pilot License
- Brazil code anac 166017
*Courses*
Celestial
Navigator
besides - pla
Cockpit Resource Management / instructor / inspac
*Experience*
as pilot -
Average
Flight Hours -
total of more than 35
000
Hs, since 1962 // 32
000 Hs as Captain on Routes of:
- North and
South Americas; Europe; North Atlantic [rvsm]; Middle East; Africa and Far East
[Asia].