The diagram below represents a thin rod of length L and mass m is attached to a solid disc of radius R =L3, and three times as massive as the rod (that is, its mass is 3m). The whole system is suspended from a frictionless pivot point located at L/4 from the top of the rod (as indicated by the cross on the diagram). The parameter values are also shown %3D below.
The diagram below represents a thin rod of length L and mass m is attached to a solid disc of radius R =L3, and three times as massive as the rod (that is, its mass is 3m). The whole system is suspended from a frictionless pivot point located at L/4 from the top of the rod (as indicated by the cross on the diagram). The parameter values are also shown %3D below.
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![The diagram below represents a thin rod of length L and mass m is attached to a solid
disc of radius R= L3, and three times as massive as the rod (that is, its mass is 3m). The
whole system is suspended from a frictionless pivot point located at L/4 from the top of
the rod (as indicated by the cross on the diagram). The parameter values are also shown
%3D
below.
L/4
m = 3.27 kg
L = 3.16 m
a) Determine the period of the small oscillations about the pivot point.
b) If the amplitude of the oscillations is 0, = 0.12 rad, write the equation for this
harmonic oscillator.
c) If the system is oscillating for 15 seconds, determine how many oscillations it has
done.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bda9c1d-08ea-450e-a130-838d16131279%2F52c3436a-bf1c-40be-927a-e9ffbf84d490%2F732h2re_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The diagram below represents a thin rod of length L and mass m is attached to a solid
disc of radius R= L3, and three times as massive as the rod (that is, its mass is 3m). The
whole system is suspended from a frictionless pivot point located at L/4 from the top of
the rod (as indicated by the cross on the diagram). The parameter values are also shown
%3D
below.
L/4
m = 3.27 kg
L = 3.16 m
a) Determine the period of the small oscillations about the pivot point.
b) If the amplitude of the oscillations is 0, = 0.12 rad, write the equation for this
harmonic oscillator.
c) If the system is oscillating for 15 seconds, determine how many oscillations it has
done.
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