Question

The upper half of an inclined plane with incilinaion theta is perfectly smooth while lower half is rough. a body starting from rest at top will again come to rest at bottom if the coefficient of friction for lower half is given by?

Answer 1

This is going to be a problem where most everything is variables. At one point, you'll say that the coefficient of kinetic friction, \(\mu_k\), must be great enough so that it and the normal force, \(F_n\), will cause the force of friction, \(F_f\), to be greater than the component of gravitational force that pulls the body down the incline.