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A child of mass m = 40 kg is sitting on a merry-go-round (disk) of mass...
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
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 40.0-kg child running at 3.00 m/s suddenly jumps onto a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round just before jumping on. The moment of inertia about its axis of rotation is 600 kg ? m2 and very little friction at its rotation axis. What is the angular speed of the merry-go-round just after the child has jumped onto it?...
An 85.0 kg child runs in a straight line towards the edge of a stationary merry-go-round at 2.50 m/s. The merry-go-round is in the shape of a disk and has a diameter of 4.50 m and a mass of 235 kg. The child jumps onto and stays on the merry-go- round. What is the angular momentum of the child before this collision, in kg m2/s? (A) What is the moment of inertia of the merry-go-round, in kg m27 [B) What...
A m-35.0 kg child is standing at the centre of a merry-go-round (a solid disk with mass M-63.1 kg and radius of R-2.11 m). The merry-go-round is turning with a period of T-5.98 s. The child walks along a radial line to the edge of the merry-go-round. What is the period of the merry-go-round after the child walks to the edge? Express your answer in seconds. Assume the child can be represented as a point mass Question 3 Not complete...
6. (25 points) The following question examines the motion of two children on a merry-go- round. You may treat the children as point particles with mass m and the merry-go-round as a disk with mass M and radius R. The moment of inertia of a disk is Idisk MR2 0wn o r Ve n e r (a) Calculate the total energy of the system if the two children are at the edge of the merry- go-round and the merry-go-round is...
03. A child of mass 30kg is sitting on the edge of a merry, in the shape of a solid disk of mass 200kg and radius 2m. The child and the merry-go-round rotate once every 3.14s. The child jumps off of the merry-go-round tangentially so that its velocity relative to the edge of the merry go round is 2m/s in the opposite direction to the rotation. a) Write down the formulae for the child and the merry-go-round explain any approximations...
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)
A merry go round (a disk I=1/2MR^2, M=200 kg, R=2 m) rotates at 0.4 rad/s. A child with a mass of 60 kg is dropped onto the merry go round at a distance of 1.5 m from the axis of rotation. How fast is the child moving after it comes to turn with the merry go round? A) 0.16 m/s B) 0.30 m/s C) 0.45 m/s D) 0.66 m/s
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...