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 = 180.7 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. O2 = 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 =

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 = 180.7 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. O2 = 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 =