(5) A disc of radius R is rotating with constant angular velocity w about its center O. A pendulum of mass M is connected by a string of length r at point B as shown in the Fig. below. Find the natural frequency of the pendulum using Lagrange's equation. R + \B

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 7.9P
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(5) A disc of radius R is rotating with constant angular velocity w about
its center O. A pendulum of mass M is connected by a string of length r
at point B as shown in the Fig. below. Find the natural frequency of the
pendulum using Lagrange's equation.
r
Transcribed Image Text:(5) A disc of radius R is rotating with constant angular velocity w about its center O. A pendulum of mass M is connected by a string of length r at point B as shown in the Fig. below. Find the natural frequency of the pendulum using Lagrange's equation. r
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