As shown below a uniform disk of radius R = 10.0 cm and mass M = 0.850 kg is attached to the end of a uniform rigid rod of length L = 500 mm and massm= 0.210 kg. Take positive %3D O in the counterclockwise direction, and positive angular velocity ở as into the page. Assume small angle deflection

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As shown below a uniform disk of radius R = 10.0 cm and mass M = 0.850 kg is attached to
the end of a uniform rigid rod of length L = 500 mm and mass m = 0.210 kg. Take positive
O in the counterclockwise direction, and positive angular velocity é as into the page.
Assume small angle deflection
500 mm
10.0 cm
a) If this physical pendulum is lifted to an angle of 00=11.5°above its equilibrium, and then given an
initial angular velocity of wo=-1.15 rad/s at t=0s, then what is the resulting position function for
the SHM of this physical pendulum?
b) If the physical pendulum is lifted to an angle of 30 degrees to the right of the vertical and
released from rest, then what is the percent error between its maximum angular velocity as
calculated with a the SHO motion functions versus calculated with conservation of energy?
c) In part (c) of the problem I asked you to consider tensile strength without considering elastic
elongation. Why would elastic elongation make the system impossible to consider as a simple
harmonic oscillator? Use mathematics in your answer.
Transcribed Image Text:As shown below a uniform disk of radius R = 10.0 cm and mass M = 0.850 kg is attached to the end of a uniform rigid rod of length L = 500 mm and mass m = 0.210 kg. Take positive O in the counterclockwise direction, and positive angular velocity é as into the page. Assume small angle deflection 500 mm 10.0 cm a) If this physical pendulum is lifted to an angle of 00=11.5°above its equilibrium, and then given an initial angular velocity of wo=-1.15 rad/s at t=0s, then what is the resulting position function for the SHM of this physical pendulum? b) If the physical pendulum is lifted to an angle of 30 degrees to the right of the vertical and released from rest, then what is the percent error between its maximum angular velocity as calculated with a the SHO motion functions versus calculated with conservation of energy? c) In part (c) of the problem I asked you to consider tensile strength without considering elastic elongation. Why would elastic elongation make the system impossible to consider as a simple harmonic oscillator? Use mathematics in your answer.
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