
6. (25 points) The following question examines the motion of two children on a merry-go- round. You may treat the child...
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 18.0 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...
Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.60m. The merry-go-round is spinning at 16.0 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...
A merry-go-round is rotating about its axis by 20.0rpm when a student with mass of 75.0 kg is at 1.0 m from the center. He starts moving toward the edge. Find angular velocity of total system when student is on the edge of merry-go-round. Merry-go-round has mass of 100 kg and radius of 3.0m and moment of inertia of disk is l= 1/2 MR2. Moment of inertia of boy is mR2. (use conservation of angular momentum)
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 18.0 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...
Alex and Riley are two kids standing on a merry-go-round. Alex has half the mass of Riley and is standing at the very edge of the merry-go-round. Riley is standing halfway between the edge and the center of the merry-go-round. The merry-go-round is turning at a constant rate. Which of the following are true? (Select all that apply.) Alex has the larger moment of inertia on the merry-go-round. Riley has the greater angular velocity. Alex has the larger tangential...
Three children are riding on the edge of a merry-go-round that is a disk of mass 110 kg, radius 1.7 m, and is spinning at 16 rpm. The children have masses of 22.8 kg, 26.4 kg, and 31 kg. M = 110 kg m1 = 22.8 kg m2 = 26.4 kg m3 = 31 kg r = 1.7 m f = 16 rpm If the child who has a mass of 26.4 kg moves to the center of the merry-go-round,...
Three children are riding on the edge of a merry-go-round that is 105 kg, has a 1.40-m radius, and is spinning at 24.0 rpm. The children nave masses of 22.0, 28.0, and 33.0 kg. If the child who has a mass of 28.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as points.
Three children are pushing on a merry-go-round in order to get it to rotate. Two children are pushing clockwise while the third child pushes counter clockwise. Derive an expression for the net torque.
(7%) Problem 13: Three children are riding on the edge of a merry-go-round that is a disk of mass 92 kg, radius 1.6 m, and is spinning at 21 rpm. The children have masses of 22.4 kg, 29.6 kg, and 32.6 kg. Randomized Variables M= 92 kg m1 = 22.4 kg m2 = 29.6 kg m3 = 32.6 kg r= 1.6 m f=21 rpm If the child who has a mass of 29.6 kg moves to the center of the...
A merry-go-round, which may be approximated as a solid disk of
mass 90.0 kg and radius 2.00 m, is originally at rest but free to
rotate in the horizontal plane about its center. A child applies an
external force of 20.0 N tangentially to the outer edge of the
merry-go-round, for a duration of 15.0 s.
(a) What is the final angular velocity of the merry-go-round?
(b) What is the average power supplied by the child in the
process?
(c)...