Example 1: Determine the response of the block to the applied load of 60 lb.

figure 1

Given: W = 250 lb, a = 32 in., b = 72 in., h = 60 in, and ms = 0.3.

Solution:

We begin by first calculating the maximum friction force that can occur at the contact surface.

equation

Since the applied force is less than the maximum friction force, the block will not slide.

Next we check to see if there is a chance that the block may tip over. For that we determine the maximum height as

equation

Since h<hmax, then there is no chance for tipping to occur.

Conclusion: The block will remain at rest.