Problem A. A mass M is free to slide down a frictionless plane inclined at an angle a. A pendulum of length 1 and mass m hangs from M. a) Show a reference frame. Choose appropriate generalized coordinates and show them on the diagram. b) Construct the Lagrangian of the system. c) What is conserved in the system? Why? d) Write the equations of motion. Do not solve them. M m α
Problem A. A mass M is free to slide down a frictionless plane inclined at an angle a. A pendulum of length 1 and mass m hangs from M. a) Show a reference frame. Choose appropriate generalized coordinates and show them on the diagram. b) Construct the Lagrangian of the system. c) What is conserved in the system? Why? d) Write the equations of motion. Do not solve them. M m α
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Transcribed Image Text:Problem A. A mass M is free to slide down a frictionless plane inclined at an angle a. A
pendulum of length 1 and mass m hangs from M.
a) Show a reference frame. Choose appropriate
generalized coordinates and show them on the
diagram.
b) Construct the Lagrangian of the system.
c) What is conserved in the system? Why?
d) Write the equations of motion. Do not solve them.
M
m
α
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