A m-35.0 kg child is standing at the centre of a merry-go-round (a solid disk with...
A boy of mass 35.2 kg is standing on the edge of a merry-go-round which is at rest. The merry-go-round is a flat disk of mass 59.3 kg and radius 2.3m (the moment of inertia of a cylinder is ½ mr^2 ), turning on a frictionless pivot. The boy starts to walk around the edge of the merry-go-round in the clock-wise direction (when viewed from the top). When the boy is moving at 2.4 m/s relative to the merry-go-round: a....
A child is standing on the edge of a merry-go-round, 1.5 m from the center. At t = 0 the child has a linear speed of 8.0 m/s. 12 seconds later the ride has slowed down and the child’s speed is now 3.0 m/s. What are the: a) Angular Acceleration b) Radial Acceleration at t = 12s c) Tangential Acceleration d) Magnitude of the Total Acceleration at t = 12s
ltem 11 A 43-kg child stands on the edge of a 450-kg playground merry-go-round that is turning at the rate of 1 rev every 2.2 s. He then walks to the center of the platform. Part A If the radius of the platform is 1.5 m, what is its rotational speed once he arrives at the center? Assume that the platform is a uniform disk, and the child is "point-like", that is, his dimensions are so small compared to the...
5. A 3.0 m diameter merry-go-round (mass 200 kg) is spinning at 10 rpm. A child of 30.0 kg runs tangent to the merry-go-round at 2.0 m/s, in the opposite direction that it is turning, and jumps onto the outer edge. Calculate the merry-go-round's angular velocity, immediately after the child jumps on.
A 24.5-kg child is standing on the outer edge of a merry-go-round which has moment of inertia of 989 kg m-and radius 2.40 m. T rotating at 0.18 rev/s. Find the angular velocity if the child moves to a final position 1.10 m from the center of the merry-go-round
26. A 35 kg child is sitting at the edge of a 750 kg merry-go-round (assume it is a solid uniform cylinder or disk) with radius 2.0 m which is rotating once every 30 seconds. a. Calculate the angular velocity of the merry-go-round. 0.21 rad's b. Calculate the speed of the child. 0.42 m/s C. Calculate the angular momentum of the merry-go-round and child together. 343.5 d. If the child moves into the center of the merry-go-round, what will the...
A 25-kg child running at 1.6 m/s jumps onto the outer edge of a merry-go-round of 200-kg mass and 1.8 m radius. If the merry-go-round starts from rest, what is the final angular velocity in rad/s of the child and merry-go-round? Use conservation of angular momentum and treat the merry-go-round as a solid disk.
A child is riding a merry-go-round that is turning at 7.18 rpm. If the child is standing 4.65 m from the center of the merry-go-round, how fast is the child moving?
A merry-go-round modeled as a disk of mass 100 kg and radius 2.0 m is rotating around a frictionless vertical axle. After a person of mass 60 kg jumps onto the merry-go-round, the system’s angular speed decreases to 2.0 rad/s. If the person walks slowly from the edge toward the center, find the change in the system’s rotational kinetic energy caused by her movement to 0.5 m from the center.
A child of mass m = 40 kg is sitting on a merry-go-round (disk) of mass M = 120 kg and radius R = 1.0 m at a distance r=0.50 m from the axis of rotation. Calculate the moment of inertia of this system, in kg m2. I disk IMR2. Do not type in any units. m M