A playground merry-go-round is at rest, pivoted about a frictionless axis. A child of mass `m` runs along a path tangential to the rim with speed `v` and jumps on to the merry-go-round. If `R` is the radius of the merry-go-round and `I` is its moment of inertia, then the angular velocity of the merry-go-round is

In a playground there is a merry-go-round of mass 120 kg and radius 4 m. The radius of gyration is 3m. A child of mass 30 kg runs at a speed of 5 m/sec tangent to the rim of the merry-go-round when it is at rest and then jumps on it. Neglect friction and find the angular velocity of the merry-go-round and child

A boy sitting on a merry-round make 200 revolutions per minute . Calculate the angular speed of the merry-go-round.

Why do you feel giddy while moving on a merry-go-round ?

A playground merry-go-round has radius 2 m and moment of inertia 2000 kg m^(2) about a vertical axle through its center. (a) A boy applies 50 N force tangentially to the edge of the merry-go-round for 20 s . If the merry-go-round is initially at rest, what is its angular speed after 20 s ? (b) How much work did the boy do on the merry-go-round? (c) What is the average power supplied by the child? (d) What is the instantaneous power supplied by the child at t=20 s ?

A girl of mass M stands on the rim of a frictionless merry-go-round of radius R and rotational inertia I that is not moving. She throws a rock of mass m horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the rock. relative to the ground, is v . After, the linear speed of the girl is. .

A child is standing on the edge of a merry-go-round that has the shape of a disk, as shown in the figure. The mass of the child is 40 kg. The merry-go-round has a mass of 200kg and a radius of 2.5 m, and it is rotating with an angular velocity of omega=2.0 radians per second. The child then walks slowly towards the centre of the merry-go-round. What will be the final angular velocity of the merry-go-round when the child reaches the centre? (The size of the child can be neglected)

Two identical twins, Tui and Kui are playing on a large merry go round in an amusement park. The surface of merry go round is frictionless and is turning at a constant rate of revolution as the twins ride on it. Tui, sitting 2 m from the center of the merry go round, must hold onto one of the metal posts attached to the merry go round with a horizontal force of 90N to keep from sliding off. Kui is sitting at the edge, 4m from the center. With what horizontal force must she hold on to keep form falling off ?