The person in the drawing is standing on crutches. Assume that the force exerted
ID: 1659367 • Letter: T
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