A very small cube of mass III is placed on the inside of a funnel (see Fig.) rotating about a vertical axis at a constant rate of w revolutions per second. The wall of the funnel makes an angle θ with the horizontal. The coefficient of static friction between cube and funnel is μs and the center of the cube is at a distance r from the axis of rotation. Find the (a) largest and (b) smallest values of ω for which the cube will not move with respect to the funnel.
Simran Bhatia , 9 Years ago
Grade 11
