A person of mass m1 is standing at a point located at adistance R/2 on a circula

Question

A person of mass m1 is standing at a point located at adistance R/2 on a circular platform
of radius R and mass m2. Initially the platform (with the personstanding on it) rotates
with a constant angular speed 0 around an axis perpendicularto the platform and
passing through its center. Suddenly the person decides to walktowards the center of the
platform. As the person arrives at the center what is the angularspeed of the platform?
How much work did the person do to walk to the center? Against whatforce did the
person do the work?
(Consider the person as a point with mass m1).

Explanation / Answer

Here Angular momentum remains constant. IW=constant. I can be calculated using axis theorems. When man is at a distance x the inertia is I=(1/4)(2Mr*r+m*x*x) so w final is [(2M+m)/(2M+m(x*x/r*r))]w when man comes to centre (1+(m/2M)w work is done against the centripetal force.And work done iscalculated using conversation of energy (1/2)IW*W = Energy

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