Question: Consider the pendulum described in Problem 7-15. The pendulums point of support rises vertically with constant acceleration a. (a) Use the Lagrangian method to find

Consider the pendulum described in Problem 7-15. The pendulum’s point of support rises vertically with constant acceleration a.
(a) Use the Lagrangian method to find the equations of motion.
(b) Determine the Hamiltonian and Hamilton’s equations of motion.
(c) What is the period of small oscillations?

Step by Step Solution

3.32 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a gives x lsin 0 yat c l cos 0 Substituting into T mx y LTU fa b unextended length of spring l varia... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

P-C-D-H-D (29).docx

120 KBs Word File

Students Have Also Explored These Related Classical Dynamics Of Particles Questions!