A woman of mass `m` stands at the edge of ,a solid cylindrical platform of mass `M` and radius `R`. At `t = 0` the platform is rotating with negligible friction at angular velocity `omega_(0)` about a vertical axis passing through the centre. The woman begins to walk with speed `v`, relative to the platform, towards the centre of the platform:

Options

A. Angular velocity when woman reaches the centre is `(v+ m/M)omega_(0)`
B. Angular velocity as function of time is `omega=(M+m)/(M+2m(1-vt//R)^(2))`
C. Energy of system is conserved
D. Momentum of woman increases in magnitude

Answer

A, B, D