50. Problem 13.40P (HRW) A uniform plank, with length L=20 ft and weight W=100
lb, rests on the ground and against a frictionless roller at the top of a
wall of height h = 10 ft. The plank remains in equilibrium for any value
of
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Solution: Click For PDF Version We will consider the free-body diagram of the plank. As the roller is
frictionless, it exerts a normal force N on the plank at the point of
contact. At the contact point of the plank with the ground there will be a
horizontal force
In the problem it has been given that when
From these equations we can solve for
In this relation on substituting
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