A disc of mass M and radius R is rotating with angular velocity omega_(0) about a vertical axis passing through its centre (O). A man of mass (M)/(2) and height (R)/(2) is standing on the periphery. Theman gradually lies down on the disc such that his head is at a distance (R)/(2) from the centre and hisfeet touching the edge of the disc. For simplicity assume that the mancan be modelled as a thin rod of length (R)/(2). Calculate the angular speed (omega) of the platform after the man lies down.

A disc of mass M and radius R is rotating with angular velocity omega_

1.	A disc of mass M and radius R is rotating with angular velocity omega_(0) about a vertical axis passing through its centre (O). A man of mass (M)/(2) and height (R)/(2) is standing on the periphery. Theman gradually lies down on the disc such that his head is at a distance (R)/(2) from the centre and hisfeet touching the edge of the disc. For simplicity assume that the mancan be modelled as a thin rod of length (R)/(2). Calculate the angular speed (omega) of the platform after the man lies down.
Answer» ANSWER :`OMEGA = (24)/(19) omega_(0)`