y = yo cos wt l φ m A pendulum has a mass m connected by a rigid rod of length to a pivot point. An external force causes the pivot point to oscillate vertically, with y yo cos wt. Gravity is pointing downward. = a) [10 pts] Write the Lagrangian for the pendulum, in terms of the angular coordinate o.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.14P
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y = yo cos wt
l
φ
m
A pendulum has a mass m connected by a rigid rod of length to a pivot point. An external
force causes the pivot point to oscillate vertically, with y yo cos wt. Gravity is pointing downward.
=
a) [10 pts] Write the Lagrangian for the pendulum, in terms of the angular coordinate o.
Transcribed Image Text:y = yo cos wt l φ m A pendulum has a mass m connected by a rigid rod of length to a pivot point. An external force causes the pivot point to oscillate vertically, with y yo cos wt. Gravity is pointing downward. = a) [10 pts] Write the Lagrangian for the pendulum, in terms of the angular coordinate o.
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