A light rod of length l has two masses

Asked by admin @ 13/08/2021 in Physics viewed by 303 People

A light rod of length l has two masses m1 and m2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod passing through the centre of mass will be what?

Answered by admin @ 13/08/2021

According to formula:

I = m₁r₁² + m₂r₂²...........mₓrₓ²

I = m₁r₁² + m₂r₂²

= m₁(m₂l/m₁ + m₂)² + m₂(m₂l/m₁+m₂)²

= m₁m₂(m₁+m₂)l² /(m₁ +m₂)²

= m₁m₂l²/(m₁+m₂)

Moment of inertia is the tendency to change the angular acceleration. It is given by the sum of the product of mass of each particle with the square of distance from axis of rotation.

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