First slide
Moment of intertia
Question

A disc is rotating about its own axis with angular frequency 100 rpm. When a mass of 100 g is placed at l0 cm from its centre then its angular frequency becomes 50 rpm. The moment of inertia of the disc is :

Easy
Solution

By conservation of angular momentum
I(100) = I(50) + 100 x (10)2(50) 
I = 104 gcm2

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