Consider the mass M at the end of a massless spring whose spring constant is k and whose relaxed length is . The pendu- lum/spring is fixed at the opposite (to the mass) end, but can. freely rotate in the plane of the paper about that fixed point as shown. THERE IS NO GRAVITY FOR THIS PROB- LEM
Consider the mass M at the end of a massless spring whose spring constant is k and whose relaxed length is . The pendu- lum/spring is fixed at the opposite (to the mass) end, but can. freely rotate in the plane of the paper about that fixed point as shown. THERE IS NO GRAVITY FOR THIS PROB- LEM
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To
1. Consider the mass M at the end of a massless spring whose
spring constant is k and whose relaxed length is l. The pendu-
lum/spring is fixed at the opposite (to the mass) end, but can.
freely rotate in the plane of the paper about that fixed point as
shown. THERE IS NO GRAVITY FOR THIS PROB-
LEM
In terms of , M and the generalized coordinates r and 0, write the Lagrangian.
What are the equations of motion for r and 0?
List conserved quantities, expressing them in terms of r, r, 0, 0, and the pa-
rameters k, l, M.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0695e04c-6177-4dae-ae8e-62e62853c8ae%2F09303225-f43c-4308-acdf-7a147c1f56fb%2Fxukqp4k_processed.png&w=3840&q=75)
Transcribed Image Text:(b)
•Coooooooo
To
1. Consider the mass M at the end of a massless spring whose
spring constant is k and whose relaxed length is l. The pendu-
lum/spring is fixed at the opposite (to the mass) end, but can.
freely rotate in the plane of the paper about that fixed point as
shown. THERE IS NO GRAVITY FOR THIS PROB-
LEM
In terms of , M and the generalized coordinates r and 0, write the Lagrangian.
What are the equations of motion for r and 0?
List conserved quantities, expressing them in terms of r, r, 0, 0, and the pa-
rameters k, l, M.
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