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 = 1.2 meters, and a mass M = 251 kg. A small boy of mass m = 42 kg runs tangentially to the merry-go-round at a speed of v 1.2 m/s, and jumps on. Randomized Variables R =1.2 meters M = 251 kg m = 42 kg v = 1.2 m/s

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Please answer question 6 parts a-c

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 = 1.2 meters, and a mass M = 251 kg. A small boy of
mass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.2 m/s, and
jumps on.
Randomized Variables
R = 1.2 meters
M = 251 kg
m = 42 kg
v = 1.2 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 =
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 : A numeric value is expected and not an expression.
01 =
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 =
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.
O4 =
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.
05 =
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 = 1.2 meters, and a mass M = 251 kg. A small boy of mass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.2 m/s, and jumps on. Randomized Variables R = 1.2 meters M = 251 kg m = 42 kg v = 1.2 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 = 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 : A numeric value is expected and not an expression. 01 = 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 = 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. O4 = 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. 05 =
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