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Problem 6: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R =1.3 meters, and a mass M = 261 kg. A small boy of mass m = 49 kg runs tangentially to the merry-go-round at a speed of v = 2.4 m/s, and jumps on. Randomized Variables R = 13 meters M = 261 kg m = 49 kg v = 2.4 m/s Part (a) Calculate the moment of inertia of the merry-go-round, in kg · m?. Numeric : A numeric value is expected and not an expression. I = 220.5 Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. Numeric : Anumeric value is expected and not an expression. O1 = 1.846 Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. Numeric : A numeric value is expected and not an expression. O2 = 504 Part (d) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry- go-round when the boy is half way between the edge and the center of the merry go round? Numeric : A numeric value is expected and not an expression.

Problem 6: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R =1.3 meters, and a mass M = 261 kg. A small boy of mass m = 49 kg runs tangentially to the merry-go-round at a speed of v = 2.4 m/s, and jumps on. Randomized Variables R = 13 meters M = 261 kg m = 49 kg v = 2.4 m/s Part (a) Calculate the moment of inertia of the merry-go-round, in kg · m?. Numeric : A numeric value is expected and not an expression. I = 220.5 Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. Numeric : Anumeric value is expected and not an expression. O1 = 1.846 Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. Numeric : A numeric value is expected and not an expression. O2 = 504 Part (d) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry- go-round when the boy is half way between the edge and the center of the merry go round? Numeric : A numeric value is expected and not an expression.

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Solve part d please, rest of parts are answered
Problem 6: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 261 kg. A small boy of mass m = 49 kg runs tangentially to the merry-go-round at a speed of v = 2.4 m/s, and jumps on. Randomized Variables R = 1.3 meters M = 261 kg m = 49 kg v = 2.4 m/s Part (a) Calculate the moment of inertia of the merry-go-round, in kg · m². Numeric : A numeric value is expected and not an expression. I = 220.5 Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. Numeric : Anumeric value is expected and not an expression. 01 = - 1846 Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. Numeric : A numeric value is expected and not an expression. 02 = 504 Part (d) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry- go-round when the boy is half way between the edge and the center of the merry go round? Numeric : A numeric value is expected and not an expression. Oz = Part (e) The boy then crawls to the center of the merry-go-round. What is the angular speed in radians/second of the merry-go-round when the boy is at the center of the merry go round? Numeric : A numeric value is expected and not an expression. 04 = - 693 Part (f) Finally, the boy decides that he has had enough fun. He decides to crawl to the outer edge of the merry-go-round and jump off. Somehow, he manages to jump in such a way that he hits the ground with zero velocity with respect to the ground. What is the angular speed in radians/second of the merry-go-round after the boy jumps off? Numeric : A numeric value is expected and not an expression. Oz = . 693
Transcribed Image Text:Problem 6: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 261 kg. A small boy of mass m = 49 kg runs tangentially to the merry-go-round at a speed of v = 2.4 m/s, and jumps on. Randomized Variables R = 1.3 meters M = 261 kg m = 49 kg v = 2.4 m/s Part (a) Calculate the moment of inertia of the merry-go-round, in kg · m². Numeric : A numeric value is expected and not an expression. I = 220.5 Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. Numeric : Anumeric value is expected and not an expression. 01 = - 1846 Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. Numeric : A numeric value is expected and not an expression. 02 = 504 Part (d) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry- go-round when the boy is half way between the edge and the center of the merry go round? Numeric : A numeric value is expected and not an expression. Oz = Part (e) The boy then crawls to the center of the merry-go-round. What is the angular speed in radians/second of the merry-go-round when the boy is at the center of the merry go round? Numeric : A numeric value is expected and not an expression. 04 = - 693 Part (f) Finally, the boy decides that he has had enough fun. He decides to crawl to the outer edge of the merry-go-round and jump off. Somehow, he manages to jump in such a way that he hits the ground with zero velocity with respect to the ground. What is the angular speed in radians/second of the merry-go-round after the boy jumps off? Numeric : A numeric value is expected and not an expression. Oz = . 693
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