A uniform square plate of mass 0.5 kg and edge 20 cm is rot…

Physics System of Particles Rotational Motion General MCQ (Single Correct)

A uniform square plate of mass 0.5 kg and edge 20 cm is rotating about one of its diagonals at the rate of 180 revolutions per minute. The angular momentum of the square plate about its axis of rotation is

2 π π × × 10 − − 2 kg-m 2 /s

π π × × 10 − − 2 kg-m 2 /s

3 π π × × 10 − − 2 kg-m 2 /s

5 π π × × 10 − − 2 kg-m 2 /s

Text Solution

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The correct answer is:

Moment of inertia of square plate about one of its diagonals is

I = = = × × 10 − − 3 kg-m 2

Angular velocity ω ω = 2 π π N/60 = 2 π π × × 180/60=6 π π rad/s

∴ ∴ Angular momentum L= I ω ω = × × 10 − − 3 × × 6 π π = π π × × 10 − − 2 kg-m/s 2

Hence, is the correct

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