A block of mass m is connected by a string, which is wound on a solid cylinder of mass M and radius R. The block is released to fall under gravity. The axle of the cylinder is fixed and smooth. Find the speed of the block as a function of the height h descended by the block. Image is attached. Please show all work.

A block of mass m is connected by a string, which is wound on a solid cylinder of mass M and radius R. The block is released to fall under gravity. The axle of the cylinder is fixed and smooth. Find the speed of the block as a function of the height h descended by the block. Image is attached. Please show all work.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.5P

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