1) A model airplane with a mass of 0.758 kg is tethered by a wire so that it fli

Question

1) A model airplane with a mass of 0.758 kg is tethered by a wire so that it flies in a circle 30.5 m in radius. The airplane engine provides a net thrust of 0.801 N perpendicular to the tethering wire.

(a) Find the torque the net thrust produces about the center of the circle. N · m

(b) Find the angular acceleration of the airplane when it is in level flight. rad/s2

(c) Find the linear acceleration of the airplane tangent to its flight path. m/s2

2) An 9.0 m, 200N uniform ladder rests against a smooth wall. The coefficient of statistic friction between the ladder and the ground is .70, and the ladder makes a 50.0 angle with the ground. How far up the ladder can an 770 N person climb before the ladder begins to slip?

....................m

Explanation / Answer

a) T = F x perp. distance
T = 0.792N x 31m ... ?T = 24.55 Nm

b) apply F = m x a in angular form
T = I x (??/?t)
( ??/?t) = T/I
I = moment of inertia = mr

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