+1 vote
in Machine Kinematics by (38.0k points)
Calculate the moment of inertia of an object having time period = 14 sec, mass of 10 Kg and the centre of gravity lies at a point 20 cm below the point of suspension.

(a) 94.1

(b) 95.2

(c) 93.3

(d) 97.4

I had been asked this question during an online exam.

This intriguing question comes from Compound Pendulum in portion Simple Harmonic Motion of Machine Kinematics

1 Answer

0 votes
by (106k points)
The correct option is (d) 97.4

The explanation: From the given data it is clear that the given rigid body constitutes a compound pendulum, now the time period of a compound pendulum is given by:

  (2π)\(\sqrt{(\frac{I}{mgl})}\)

substituting the values we get

I = 97.4 Kg-m^2.

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