To measure the static friction coefficient between a 1.7-kg block and a vertical wall, the setup shown in the drawing is used. A spring (spring constant = 416 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. The spring in such a setup is compressed by 0.054 m. What is the coefficient of static friction?

1 answer

normal force on wall = k x
= 416 * .054 = 22.5 N

max friction force then is
22.5 mu up

gravity force down = m g = 1.7 (9.81)
= 16.7 N

so

22.5 mu = 16.7

mu = .74