If the pendulum has a mass of 2.20 kg and the pivot (axis) is located 0.350 m from the center of mass, determine the rotational inertia I of the pendulum.  b. What length would a simple pendulum need to have in order to have the same period of motion as this physical pendulum? c. What spring constant k should you use if you want to create an oscillating mass (1.45 kg) on a spring that has the same period as the pendulum above.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter16: Oscillations
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A physical pendulum in the form of a planar (flat) metal star moves in simple harmonic motion by swinging from a pivot. With a stopwatch, you measure its motion to have a period of T = 2.05 s. 

a. If the pendulum has a mass of 2.20 kg and the pivot (axis) is located 0.350 m from the center of mass, determine the rotational inertia I of the pendulum. 

b. What length would a simple pendulum need to have in order to have the same period of motion as this physical pendulum?

c. What spring constant k should you use if you want to create an oscillating mass (1.45 kg) on a spring that has the same period as the pendulum above. 

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