The arrangement shown above consists of a solid cylinder and a solid sphere, each of mass , on which a light thread is wound. Find the tension in the thread in the process of motion.
The answer is of the form for coprime positive integers and . Find .
Details and Assumptions:
The radii of of the cylinder and sphere are equal and are equal to
Take acceleration due to gravity as .
The friction in the axle of the upper cylinder is assumed to be absent.
There is no slipping anywhere.