Problem 2: Inclined to Stay (25 points) A box of mass m 35 kg is placed on an in

Question

Problem 2: Inclined to Stay (25 points) A box of mass m 35 kg is placed on an incline that makes an an horizontal. angle of 20° with the Static friction causes the box to remain stationary on the incline. 35 kg 20° 2.1: (5 points) Draw a free-body diagram for the box, labeling all forces acting on the box and showing their directions. 2.2: (10 points) Find the magnitude of the static friction force acting on the box. 2.3: (10 points) Find the minimum coefficient of static friction, " between the box and the incline.

Explanation / Answer

2.2)perpendicular to incline

N=mg cos 20

Parallel to inlcine

fs=mg sin 20=35*9.8*sin20=117.3 N

2.3)we know

fs =mu* N

mu=coeficient of static friction=fs /mg cos 20 =mgsin20/mgcos20=tan20=0.36

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