The person in the drawing is standing on crutches. Assume that the force exerted

Question

The person in the drawing is standing on crutches. Assume that the force exerted on each crutch by the ground is directed along the crutch, as the force vectors in the drawing indicate. If the coefficient of static friction between a crutch and the ground is 0.853, determine the largest angle MAX that the crutch can have just before it begins to slip on the floor. The person in the drawing is standing on crutches. Assume that the force exerted on each crutch by the ground is directed along the crutch, as the force vectors in the drawing indicate. If the coefficient of static friction between a crutch and the ground is 0.853, determine the largest angle MAX that the crutch can have just before it begins to slip on the floor.

Explanation / Answer

along the vertical direction, force equation is given as

F Costheta = Fn

frictional force is given as

fs = us Fn

along the horizontal direction

fs = F Sintheta

us Fn = F Sintheta

0.853 (F Costheta) = F Sintheta

tantheta = 0.853

theta = 40.5 degree

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