A loaded penguin sled weighing 71 N rests on a plane inclined at angle ? = 24? t

Question

A loaded penguin sled weighing 71 N rests on a plane inclined at angle ? = 24? to the horizontal (Fig. 6-23). Between the sled and the plane, the coefficient of static friction is 0.24, and the coefficient of kinetic friction is 0.14.

(a) What is the minimum magnitude of the force F , parallel to the plane, that will prevent the sled from slipping down the plane?

(b) What is the minimum magnitude F that will start the sled moving up the plane?

(c) What value of F is required to move the sled up the plane at constant velocity?

Explanation / Answer

a)minimum force F needed =mgsin-mgcos =mgsin24-0.24mgcos24 = 13.3 N

b)F =mgsin+mgcos =mgsin24+0.24mgcos24 =44.43N

c) we will use kinetic friction here as body is in motion

F =mgsin24+0.14mgcos24 = 37.95 N

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