Question

Rectangular block A weighs 100 lb, and the half-circle block B weighs 150 lb. The surface between block A and the ground has a coefficient of static friction of μA = 0.2, and the surface between block A and B has a coefficient of static friction of μB = 0.23.

a. Block A will slide with a force of 20 lb
b. Block A will not slide
c. Block A will slide with a force of 23 lb
d. Block B will slide

Answer 1

Block A will not slide.

Step-by-step explanation:

To determine if block A will slide, we need to compare the force of friction between block A and the ground with the force required to overcome that friction. The force of friction can be calculated by multiplying the coefficient of static friction (μA) by the normal force. The normal force is equal to the weight of block A, which is 100 lb. So the force of friction between block A and the ground is 0.2 * 100 lb = 20 lb.

Since the force required to overcome the force of friction is 20 lb, which is the same as the force of friction, block A will not slide. Therefore, the correct option is b. Block A will not slide.