Question

A tool chest has 950 N weight that acts through the midpoint of the chest. The chest is supported by feet at A and rollers at B. The surface has a coefficient of friction of 0.3. Determine the value of the horizontal force P necessary to cause motion of the chest to the right, and determine if the motion is sliding or tipping. The value of P is N. The motion is .

Answer 1

P > 142.5 N (→)

the motion sliding

Step-by-step explanation:

Given

W = 959 N

μs = 0.3

If we apply

∑ Fy = 0 (+↑)

Ay + By = W

If Ay = By

2*By = W

By = W / 2

By = 950 N / 2

By = 475 N (↑)

Then we can get F (the force of friction) as follows

F = μs*N = μs*By

F = 0.3*475 N

F = 142.5 N (←)

we can apply

P - F > 0

P > 142.5 N (→)

the motion sliding