A mass which is free to move on a horizontal frictionless

Last updated: 6/13/2023

A mass which is free to move on a horizontal frictionless surface is attached to one end of a massless string that wraps partially around a frictionless vertical pole of radius r see the top view in figure You hold on the other end of the string At t 0 the mass has speed vo in the tangential direction along the dotted circle of radius R shown Your task is to pull on the string so that the mass keeps moving along the dotted circle You are required to do this in such a way that the string remains in contact with the pole at all times You will have to move your hand around the pole of course The mass can be kept moving in the circle only upto time T sec Find the value of T Given R 2r 2m vo 5 m s top view hand