Finding Thrust from aircraft, need rolling friction

AI Thread Summary
To find the thrust of an Airbus A320 during takeoff, the net force equation is utilized, factoring in rolling friction. The thrust can be expressed as thrust = rolling friction - net force, where net force is derived from the aircraft's mass and acceleration. The acceleration is calculated as 82 m/s divided by 35 seconds. The normal force is equivalent to the weight of the aircraft, which is the mass multiplied by gravity. The discussion highlights the need to isolate the friction coefficient (mu) while confirming that the relationship between friction and normal force is correctly applied.
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Homework Statement


An Airbus A320 jetliner has a takeoff mass of 75,000 kg. It reaches its takeoff speed of 82 m/s in 35s.
Find the Thrust of the engines, don't worry about air resistance, but rolling friction is substantial.

Homework Equations


Fnet=mass*acceleration
a=(82/35)
mass=75000
rolling_friction=mu*n (n=normal force) (mu=friction coefficient)
Fnetx=rolling_friction-thrust
Fnety=n-weight(m*g (gravity))
n=mg

The Attempt at a Solution



I got as far as:
Thrust=mu(m*g)-m*a

I know that I need to solve for mu, but I can't seem to find a good way to further relate the equations.
 
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Remember forces add. so
Force (thrust) = m * a + friction
You know m * a so you can separate out the friction force.
And since you know the mass you can get the co-efficeint.

I think this is a case where you are better putting in the numbers you know before re-arranging the equations, it should be obvious.
 
thanks for the help. though, I'm having trouble getting the friction coefficient by itself. i thought it was mu= F/mg, though I'm not sure if that's right.
 
Friction = u * normal force = u * weight = u * mg
 
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