A turn table of mass M and radius R is rotating with angular velocity `omega_(0)` on frictionless bearing. A spider of mass m falls vertically onto the rim of the turn table and then walks in slowly towards the centre ofthe table. What is the angular velocity of the system when spider is at a distance r from the centre. Compute also the angular velocity of the turn table when the spider is at the rim and at the centre of the table .Is the energy of the system in this problem conserved ?