A rotating uniform-density disk of radius 0.6 m is mounted in the vertical plane

Question

A rotating uniform-density disk of radius 0.6 m is mounted in the vertical plane. The axle is held up by supports that are not shown, and the disk is free to rotate on the nearly frictionless axle. The disk has mass 5.8 kg. A lump of clay with mass 0.5 kg falls and sticks to the outer edge of the wheel at location A,

Explanation / Answer

m= 0.5 kg , M = 5.8 kg a). L= mvr +I*w => L= o.5* 8*0.6 + (5.8* 0.6^2)/2 *0.83 = 3.267 kg.m2/s b). since no external torque is acting, so the combined angular momentum will be same equal to 3.267 kg.m2/s c). from conservation of angular momentum; (mr^2/2 +Mr^2/2)w = 3.267 => w = 2.88 rad/s

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