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# We are given a wheel of readius "r" and mass "m" rotating about its axis with angular speed "v/r". If its radius is doubled, wat will be the change in net force acting on the particle at the rim ??1) mass is constant.2) density is constant.

509 Points
10 years ago

since no external torque acting on the system so we can apply conservation of angular momentam...

Iw=I1w1 .........1

a)when mass is constant

eq 1 becomes

mr2 w =m4r2w1

w1=w/4 ..............1

the only force acting on the particle which is placed on rim is centrifugal force..

Fc=mw2 r               (initially)

Fc1=mw12 2r          (finally)

Fc1=mw2r/8=Fc/8

so force on particle becomes 1/8 times its initial value..

now solve other part in same manner