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)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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 PEG carefully)

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I feel like the hoop would reach the bottom faster because less energy is required to move it. is this correct? thank you!