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Find the period of oscillation of a disk of mass 0.32 kg

Chapter 13, Problem 87GP

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QUESTION:

Problem 87GP

Find the period of oscillation of a disk of mass 0.32 kg and radius 0.15 m if it is pivoted about a small hole drilled near its rim.

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QUESTION:

Problem 87GP

Find the period of oscillation of a disk of mass 0.32 kg and radius 0.15 m if it is pivoted about a small hole drilled near its rim.

ANSWER:

Solution 87 GP

Step 1 of 2

We have to find the period of oscillation of a disk of mass 0.32 kg and radius 0.15 m if it is pivoted about a small hole drilled near its rim.

The period of the oscillation of the disk can be found using the expression for the period of a physical pendulum.

where,

distance from the pivot point to

      the centre of the mass = radius of

      disk = 0.15 m

m/s2

Moment of Inertia of the disk in kgm2

mass of the disk = 0.32 kg

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