It can be shown that if a pendulum mass on a string is dropped from a height as shown the final velocity will be /2gh. (we did this in the energy lab) This is because all of the mass is located at the end of the string giving it a moment of inertia of ml?. If instead a solid rod of the same mass and length was allowed to swing the same distance, and knowing the moment of inertial to be 1/3 mL? what is the velocity of the very tip of the rod at the bottom? (if you want you can use a mass of 1 and a length of 1, hint: choose PE, carefully)

It can be shown that if a pendulum mass on a string is dropped from a height as shown the final velocity will be /2gh. (we did this in the energy lab) This is because all of the mass is located at the end of the string giving it a moment of inertia of ml?. If instead a solid rod of the same mass and length was allowed to swing the same distance, and knowing the moment of inertial to be 1/3 mL? what is the velocity of the very tip of the rod at the bottom? (if you want you can use a mass of 1 and a length of 1, hint: choose PE, carefully)

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.7P

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