A solid spherical ball has a mass of 3.61 kg and a radius of 0.150 m. This results in its moment of inertia (MR²) being measured as 0.0325 kg m². The ball is at rest on a hill at a height 21.9 m above the bottom of the hill. The ball is allowed to roll without slipping down the hill. What is the final linear speed of the ball at the bottom of the hill? Select one: a. 26.7 m/s O b. 17.5 m/s ○ c. 14.6 m/s d. 307.m/s

Three children are riding on the edge of a merry-go-round that is a disk of mass 96 kg, radius 1.1 m, and is spinning at 22 rpm. The children have masses of 20.4 kg, 26 kg, and 35 kg. M = 96 kgm1 = 20.4 kgm2 = 26 kgm3 = 35 kgr = 1.1 mf = 22 rpm A.  What is the moment of inertia of the merry-go-round plus the children in kg⋅m2?  B.  If the child who has a mass of 26 moves to the center of the merry-go-round, what is the new moment of inertia in kg⋅m2?  C. If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?

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 2.36 m and a rotational inertia of 218 kg-m2 about the axis of rotation. A 72.6 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.07 rad/s when the student starts at the rim, what is the angular speed when she is 0.433 m from the center? Number i Units

A child is riding a merry-go-round, which has an angular speed of 2.15 rad/s and an angular acceleration of 0.85 rad/s2  . The child is standing 3.465 m from the center of the merry-go-round. What is the magnitude of the acceleration of the child?