A physical pendulum consists of a ring of radius 0.5 m and mass 2 kg. The ring is pivoted at a point on its perimeter. The ring is pulled out such that its centre of mass makes a small initial angle 6, the vertical and released from rest. = 0.2 rad from mg (A) Calculate the moment of inertia of the ring about an axis passing through the pivot point O (B) Work out the equation of motion for the vibration of the ring (C) Calculate the angular frequency of the oscillation of the ring (D) Calculate the period of the oscillation of the ring

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A physical pendulum consists of a ring of radius 0.5 m and mass 2 kg. The ring is pivoted at a point on its
perimeter. The ring is pulled out such that its centre of mass makes a small initial angle 8,
the vertical and released from rest.
= 0.2 rad from
mg
(A) Calculate the moment of inertia of the ring about an axis passing through the pivot point O
(B) Work out the equation of motion for the vibration of the ring
(C) Calculate the angular frequency of the oscillation of the ring
(D) Calculate the period of the oscillation of the ring
Transcribed Image Text:A physical pendulum consists of a ring of radius 0.5 m and mass 2 kg. The ring is pivoted at a point on its perimeter. The ring is pulled out such that its centre of mass makes a small initial angle 8, the vertical and released from rest. = 0.2 rad from mg (A) Calculate the moment of inertia of the ring about an axis passing through the pivot point O (B) Work out the equation of motion for the vibration of the ring (C) Calculate the angular frequency of the oscillation of the ring (D) Calculate the period of the oscillation of the ring
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