A hoop of mass m and radius R rolls without slipping down an inclined plane of length 1, which makes an angle a with the horizontal. The inclined plane does not move. The hoop is released from the top of the inclined plane. a) Show a reference frame. b) Find the Lagrangian. c) Write the Lagrange equation. d) How long does the hoop take to reach the bottom of the inclined plane? R a
A hoop of mass m and radius R rolls without slipping down an inclined plane of length 1, which makes an angle a with the horizontal. The inclined plane does not move. The hoop is released from the top of the inclined plane. a) Show a reference frame. b) Find the Lagrangian. c) Write the Lagrange equation. d) How long does the hoop take to reach the bottom of the inclined plane? R a
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Transcribed Image Text:A hoop of mass m and radius R rolls without slipping down an inclined plane of length 1,
which makes an angle a with the horizontal. The inclined plane does not move. The hoop
is released from the top of the inclined plane.
a) Show a reference frame.
b) Find the Lagrangian.
c) Write the Lagrange equation.
d) How long does the hoop take to reach the
bottom of the inclined plane?
R
a
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