ou have made a physical pendulum by swinging a rod of mass M= 1.08 kg and length L 1.45 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max 19.34 degrees. Solid Rod Swings in Simple Harmonic Motion

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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You have made a physical pendulum by swinging a rod of mass M = 1.08 kg and length L = 1.45 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max = 19.34 degrees.
Solid Rod Swings in
Simple Harmonic Motion
^
0=-0,
max
0=+0₁
max
Determine all the following:
The FORMULA for the moment of inertia of your rod, I =
The distance from the pivot point to the Center-Of-Mass, d =
The angular frequency of the pendulum, w =
The amplitude of the motion in radians, max =
radians
The angular velocity when 0 = 64% of full swing, w(0 = 0.64 0max):
NOTE: The first question requires a FORMULA, not a value.
rad/sec
=
meters
rad/sec
Transcribed Image Text:You have made a physical pendulum by swinging a rod of mass M = 1.08 kg and length L = 1.45 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max = 19.34 degrees. Solid Rod Swings in Simple Harmonic Motion ^ 0=-0, max 0=+0₁ max Determine all the following: The FORMULA for the moment of inertia of your rod, I = The distance from the pivot point to the Center-Of-Mass, d = The angular frequency of the pendulum, w = The amplitude of the motion in radians, max = radians The angular velocity when 0 = 64% of full swing, w(0 = 0.64 0max): NOTE: The first question requires a FORMULA, not a value. rad/sec = meters rad/sec
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