Mass and ring*
This problem involves solving a simple differential equation. A block of mass m slides on a frictionless table. It is constrained to move inside a ring of radius l that is fixed to the table. At t = 0, the block is moving along the inside of the ring (in the tangential direction) with velocity v0. The coefficient of friction between the block and the ring is μ. l υ0
(a) Find the velocity of the block at later times.
(b) Find the position of the block at later times.
