## Q. 10.8

## Chapter 10

## Q. 10.8

A flywheel of mass 18 kg and radius of gyration 250 mm is mounted at the midpoint of a solid steel shaft of diameter 50 mm and length, L. The shaft rotates in the bearings A and B at its ends with an angular speed of 120 rpm. If both the bearings suddenly freeze so that the ends of the shaft become locked, the shaft will have to absorb the kinetic energy of the flywheel. Calculate the minimum length L of the shaft for which this can be done without exceeding a maximum shear stress \tau_{\max }=80 MPa. Assume modulus of rigidity, G = 82 GPa.

**"Step-by-Step Explanation"**refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.

Our explanations are based on the best information we have, but they may not always be right or fit every situation.

**blue check mark**means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.

Learn more on how we answer questions.