A small outdoor merry-go-round with rotational inertia 46kg * m ^ 2 is initially rotating at 40 rpm. A cat jumps on to the merry-go-round and sits down at a distance of 1.2 m from its axis of rotation. The new angular velocity of the merry-go-round with the cat is 32 rpm. Find the mass of the cat

A ball (in the form of a spherical shell which has a moment of inertia of 2/3 M R^2) rolls down a roof, then falls to the ground. The ball has a mass of 1.65 g and a radius of 15.0 cm. The roof is inclined at 20.0 degrees and the ball rolls a distance of 3 meters along the roof before falling off. a)  What is the angular speed of the ball at the moment it leaves the roof? b)  If the distance from the end of the roof to the ground is 2.50 m, how many revolutions does the ball make before it hits the ground?

A girl of mass 31.8 kg stands on the rim of a frictionless merry-go-round of radius 1.63 m and rotational inertia 313 kg-m2 that is not moving. She throws a rock of mass 948 g horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground, is 3.26 m/s. Afterward, what are (a) the angular speed of the merry-go-round and (b) the linear speed of the girl? (a) Number i Units (b) Number i Units

A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m.  The rotational inertia of the merry-go-round about its axis of rotation is 150 kgm2.  The child catches a ball of mass 1.0 kg travelling at 16 m/s at an angle Ø=37º thrown by a friend.  If the merry-go-round starts at rest, what is the angular speed of the merry-go-round just after the ball is caught.