A large horizontal circular platform (M=98.1 kg, r=3.01 m) rotates about a frictionless vertical axle. A student (m=73.3 kg) walks slowly from the rim of the platform toward the center. The angular velocity w of the system is 4.70 rad/s when the student is at the rim. Find w (in rad/s) when the student is 2.75 m from the center. Submit Answer Tries 0/10

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.

A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 2.58 m and a rotational inertia of 255 kg·m2 about the axis of rotation. A 53.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.18 rad/s when the student starts at the rim, what is the angular speed when she is 1.79 m from the center?

A small 0.400-kg object moves on a frictionless horizontal table in a circular path of radius 3.30 m. The angular speed is 6.63 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 113N, what is the radius of the smallest possible circle on which the object can move?

A playground merry-go-round of radius R = 1.80 m has a moment of inertia of 1 = 290 kgm² and is rotating at 14.0 rev/min about a frictionless vertical axis. Facing the axle, a 29.0 kg child hops on to the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round? O 1.11 rad/s 0.903 rad/s O 10.6 rad/s O4.53 rad/s practice q# 2 p. 242 chap 7

A small 0.340-kg object moves on a frictionless horizontal table in a circular path of radius 1.10 m. The angular speed is 7.09 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 108 N, what is the radius of the smallest possible circle on which the object can move? Number Units

A playground merry-go-round of radius 4m has a moment of inertia of 324 kg m² and is rotating at 11 rev/min about a frictionless vertical axle. Facing the axle, a 25.0 kg child hops on and manages to sit down on the edge. What is the new rotational speed of the merry-go-round in rev/min?

A 42.7 kg person starts at the center of a frictionless rotating merry-go-round that has a radius of 2.72 m and a mass of 60.5 kg that is uniformly distributed throughout. If the initial angular velocity is 5.39 rad/s, what is the tangential velocity of the person when they move to the edge of the merry-go-round?

Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.70 m . The merry‑go‑round is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses.   final angular velocity:   rpm

A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 22.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round (in rev/min)?