A small cube (mass = m ) is on the inner curved surface of a funnel rotating about its own axis. Its wall inclines at an angle theta with the horizontal. The cube is kept at a distance r from the vertical axis of rotation of the funnel. If the coefficient of friction between the funnel and the cube is mu, for what frequency of rotation of the funnel, will the cube remain at rest on the surface of the funnel? It is implied that the cube will roll down if the funnel remains stationary.

A small cube (mass = m ) is on the inner curved surface of a funnel ro

1.	A small cube (mass = m ) is on the inner curved surface of a funnel rotating about its own axis. Its wall inclines at an angle theta with the horizontal. The cube is kept at a distance r from the vertical axis of rotation of the funnel. If the coefficient of friction between the funnel and the cube is mu, for what frequency of rotation of the funnel, will the cube remain at rest on the surface of the funnel? It is implied that the cube will roll down if the funnel remains stationary.
Answer» Answer :`(1)/(2PI) SQRT((g(SIN theta PM mu con theta))/(R(cos theta pm mu sin theta)))`