Consider the length of the simple pendulum is I and the mass of the pendulum bob is m. Obtain the equation for the Lagrangian for the simple pendulum when its kinetic energy is -mf and the potential energy is mgl(1-cos ). 1 (A) ml-mgl (1- cos ø) 1 (B) ml o - mgl(1-cos () (C) - mlo + mgl (1– cos ø) (D) ml o- 2mgl (1- cos ø)

Consider the length of the simple pendulum is I and the mass of the pendulum bob is m. Obtain the equation for the Lagrangian for the simple pendulum when its kinetic energy is -mf and the potential energy is mgl(1-cos ). 1 (A) ml-mgl (1- cos ø) 1 (B) ml o - mgl(1-cos () (C) - mlo + mgl (1– cos ø) (D) ml o- 2mgl (1- cos ø)

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 11.9P

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