Forces and state of equilibrium

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Homework Help Overview

The discussion revolves around forces acting on an aircraft in a state of equilibrium, specifically focusing on gravitational force, engine thrust, lift force, and air resistance as the aircraft travels at a constant velocity.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the relationship between the forces acting on the aircraft, including gravity and engine thrust. Questions arise regarding the nature of the forces involved, such as whether the engine's force is a pulling force and the number of forces acting on the plane.

Discussion Status

The discussion is active, with participants questioning assumptions about the forces at play. Some have suggested that additional forces, such as lift and air resistance, must be considered for the aircraft to remain airborne. There is acknowledgment of the need for a normal force to balance the gravitational force.

Contextual Notes

Participants are navigating the constraints of the problem, including the requirement to determine the lift force and air resistance without providing explicit solutions. The context of constant velocity implies a state of equilibrium that is being examined.

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Homework Statement


Assuming an aircraft has a force of gravity of 6.6x10^4N [down] acting on it as it travels at a constant velocity of 6.4x10^2 km/h [w]. If the engine is 1.3x10^4N [W] determine:
(a) The upward lift force on the plane
(b) The force due to air resistance on the plane


Homework Equations


Trig


The Attempt at a Solution


(a) I drew out a vector diagram which looks very basic with Fg and Fe( force of the engine)
Because the aircraft is moving at a constant velocity we know that ƩF=0
I went about it in a very basic was, so I'm not sure of it is correct:
ƩFx=1.3x10^4N ƩFy= -6.6x10^4N
ƩF=√(1.3x10^4N)^2 + (-6.6x10^4N)^2
F=6.7x10^4N
therefore, the upward life force on the plane is 6.7x10^4N[North of west]
 
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sdoi said:
If the engine is 1.3x10^4N [W]
Is the above the pulling force of the engine?
 
oh sorry, "If the forward thrust provided by the engine is..."
 
OK
How many forces act on the plane?
 
Two forces, Negative force of gravity, and the thrust of the engine.
 
If those are the only two forces on the plane then the plane will fall down along the resultant of these two forces.
THINK again!
 
In order for the plane no remain airborne there needs to be a normal force as well to cancel out the force of gravity and air resistance to counter the forward thrust of the engine.
 
Correct. Here we better call the normal force by the name 'upward lift'.
So now you know the answer to(a) and (b).
 

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