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The top is figure has moment of inertia...

The top is figure has moment of inertia equal to `4.00xx10^(4) kgm^(2)` and is initially at rest. It is free to rotate about the stationary axis `"AA"'`. A string wrapped around a ped alonng the axis of the top is pulled in such a manners as to maintain a constant tension of `5.57N`.If the string does not slip while it is unwound from the peg, what is the angular speed of the top after `80.0 CM` of string has been pulled of the peg?

Text Solution

Verified by Experts

Work done `=F/_\r(5.57)(0.800m)=4.46J`
and work `=/_\K=1/2Iomega_(f)^(2)-1/2Iomega_(i)^(2)`
(The last term is zero because the top starts from rest.)
Thus, `4.46 J=1/2(4.00xx10^(-4)kgxxm^(2))omega_(f)^(2)`
and from this `omega_(f)=149rad//s`
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