A block with a weight of 36 N is placed on a sheet of aluminum with an inclination of 18. The coefficients of static and kinetic friction between the block and aluminum are 0.35 and 0.23 respectively. Will the block slide down the plane?

Answer 1

A) No. the downward force along the plane is 3.9 N and the maximum static friction force is 34 N

B) yes. The downward force along the plane is 11 N and the maximum static friction force is 7.9 N

C) no. The downward force along the plane is 11 N and the maximum static friction force is 12 N

D) yes. The downward force along the plane is 34 N and the maximum static friction force is 2.6 N

Answer 2

normal force = m g cos 18 = 36 * 0.951 = 34.2 N
so max static friction = .35 * 34.2 = 12 N
component of weight down ramp = 36 sin 18 = 11.1 N
So - Ok unless we get an earthquake. Once it gets started the kinetic friction will not stop it.

Answer 3

how did you get 0.951