Please answer question f Problem 6: A merry-go-round is a playground ride that consists of a large diskmounted to that it can freely rotate in a horizontal plane. The merry-go-round shown isinitially at rest, has a radius R = 1.2 meters, and a mass M = 251 kg. A small boy ofmass m = 42 kg runs tangentially to the merry-go-round at a speed of v = 1.2 m/s, andjumps on.Randomized VariablesR = 1.2 metersM = 251 kgm = 42 kgv = 1.2 m/sPart (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 =(80.7Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of themerry-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 =25Part (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 boyis at the center of the merry go round?Numeric : A numeric value is expected and not an expression.04 =- 3347Part (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 inradians/second of the merry-go-round after the boy jumps off?Numeric : A numeric value is expected and not an expression.05 =

The moment of inertia is the equivalent of mass in angular motion. If I is the moment of inertia of…

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 = (80.7 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 = .25 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. O3 = 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 = 3347 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. O5 =