You have made a physical pendulum by swinging a rod of mass M = 0.61 kg and length L = 0.86 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 = 14.67 degrees. Solid Rod Swings in Simple Harmonic Motion 0=-0max Determine all the following: 0=+max 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 = 65% of full swing, w(0 = 0.65 0max) = NOTE: The first question requires a FORMULA, not a value. rad/sec meters rad/sec

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.45P
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You have made a physical pendulum by swinging a rod of mass M = 0.61 kg and length L = 0.86 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 = 14.67 degrees.
Solid Rod Swings in
Simple Harmonic Motion
Ө=-0max
Determine all the following:
0=+0₁
max
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, 8max =
The angular velocity when 0 = 65% of full swing, w(0 = 0.65 0max)
NOTE: The first question requires a FORMULA, not a value.
rad/sec
radians
=
meters
rad/sec
Transcribed Image Text:You have made a physical pendulum by swinging a rod of mass M = 0.61 kg and length L = 0.86 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 = 14.67 degrees. Solid Rod Swings in Simple Harmonic Motion Ө=-0max Determine all the following: 0=+0₁ max 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, 8max = The angular velocity when 0 = 65% of full swing, w(0 = 0.65 0max) NOTE: The first question requires a FORMULA, not a value. rad/sec radians = meters rad/sec
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