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[33] A Merry-Go-Round (thin solid disk of mass M-2000 kg and rotational inertia ofla k-1 MR2)is...
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 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)
1a. 1b. A disk with a rotational inertia of 1.20 kg·m2 rotates like a merry-go-round while undergoing a torque given by τ = (4.01 + 2.79t) N · m. At time t = 1.00 s, its angular momentum is 3.53 kg·m2/s. What is its angular momentum at t = 3.00 s? In the figure here, three particles of mass m = 0.013 kg are fastened to three rods of length d = 0.13 m and negligible mass. The rigid assembly...
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 3.1-m-diameter merry-go-round with rotational inertia 110 kg · mº is spinning freely at 0.60 rev/s . Four 25-kg children sit suddenly on the edge of the merry-go-round. Find the new angular speed. Express your answer using two significant figures. IVO AQ R O 2 ? 1 rev/s Submit Request Answer Part B Determine the total energy lost to friction between the children and the merry-go-round. Express your answer using two significant figures. IVO AQ R O 2 ? AK...
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...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius 2.10 m free to rotate about a frictionless axis through its center. A 40.0 kg child stands at the edge and the system is initially rotating at 0.300 rad/sec. The child begins to walk around the edge of the merry-go-round with a velocity of 0.250 m/s relative to the ground in the direction of the rotation. What is the angular velocity of the merry-go-round...
a merry-go-round in the park has a radius of 2.5 m and rotational inertia of 1000 kg*m^2. a child pushes the merry-go-round with a constant force of 50 N applied at a point tangent to the edge. a frictional torque of 12 N*m acts at the axle of the merry-go-round. what is the rotational acceleration of the merry-go-round while the child is pushing? at this rate, what will the rotational velocity of the merry-go-round be after 12 s if it...
A 4.4-m-diameter merry-go-round is rotating freely with an angular velocity of 0.90 rad. Its total moment of inertia is 1360 kg⋅m2 . Four people standing on the ground, each of mass 62 kg , suddenly step onto the edge of the merry-go-round. A) What is the angular velocity of the merry-go-round now? B) What if the people were on it initially and then jumped off in a radial direction (relative to 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 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...