Question

A solid sphere of radius R and mass 10.0kg is placed on an incline plane of variable angle. The coefficients of static and kinetic friction are μ_s=0.29 and μ_k=0.14.
(a) What is the minimum angle such that the sphere slides down the plane?
  ^o

(b) What is the frictional force at this angle?
  N

(c) If the angle of the incline plane is half of that in part (a) what are the acceleration of the sphere and the force of friction acting on the sphere as is rolls down the plane?
  m/s²

  N

(d) If the angle of the incline plane is twice that in part (a) what is the force of friction acting on the sphere as it moves down the plane?
  N

(e) Suppose the sphere is given an initial velocity up the incline plane when the angle of the plane is half of that in part (a). What are the acceleration of the sphere and force of friction acting on the sphere as it moves up the plane? What is the acceleration of the sphere and the force of friction acting on the sphere after it reaches its maximum height on the plane?
  m/s²

  N

  m/s²

  N

Answer 1