A solid square plate is spun around different axes with the same … - Vidyadip

MCQ

A solid square plate is spun around different axes with the same angular speed. In which of the following choice of axis of rotation will the kinetic energy of the plate be the largest?

A
Through the centre, normal to the plate
B
Along one of the diagonals of the plate
C
Along one of the edges of the plate
✓
Through one corner normal to the plate

✓

Answer

Correct option: D.

Through one corner normal to the plate

d
(d)

Kinetic energy of a rotating body is

$K=\frac{1}{2} I \omega^2$

where, $I=$ moment of inertia of a body.

For square plate, moment of inertia is largest along an axis perpendicular to plane of plate and through its one of corner. As mass distribution is now farthest from axis of rotation.

So, kinetic energy of plate is largest in option $(d)$.

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