# Aditya's challenges in Mechanics 8

The arrangement shown above consists of a solid cylinder and a solid sphere, each of mass $$1\text{ kg}$$, on which a light thread is wound. Find the tension in the thread in the process of motion.

The answer is of the form $$\frac{A}{B}$$ for coprime positive integers $$A$$ and $$B$$. Find $$A+B$$.

Details and Assumptions:

• The radii of of the cylinder and sphere are equal and are equal to $$1m$$

• Take acceleration due to gravity as $$g=10\text{ ms}^{-1}$$.

• The friction in the axle of the upper cylinder is assumed to be absent.

• There is no slipping anywhere.

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