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15. A disc of mass M and radius ris rotating with an angular velocity w. If gently, two masses mare placed at a distance r/2 on either side of the axes, what will be its angular velocity? |
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Answer» we will use angular momentum conservation in this question. w = angular velocity. initial angular momentum is Iw = (Mr²/2)*wfinal angular momentum = I'w' I' = Mr²/2 + 2*(m)*(r²/4) = Mr²/2 + mr²/2 I'= r²/2*(M+m) now Iw = I'w' => w' = Iw/I' = {(Mr²/2)*w}/r²/2*(M+m) = Mw/(M+m). |
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