A simple pendulum clock (no air resistance) has a length of 0.75 meters. The pendulum mass is displaced horizontally from its equilibrium position by a distance of 0.005 meters initially and then released at rest. Derive the equation of the angular displacement as a function of time, theta (t) using small angle approximation. Do not assume phi=0 automatically. Verify B) calculate max speed of mass

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.32P
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A simple pendulum clock (no air resistance) has a length of 0.75 meters. The pendulum mass is displaced horizontally from its equilibrium position by a distance of 0.005 meters initially and then released at rest. Derive the equation of the angular displacement as a function of time, theta (t) using small angle approximation. Do not assume phi=0 automatically. Verify B) calculate max speed of mass
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