4a) A person of mass 70kg runs tangentially to a uniform rotating disk- shaped merry-go-round (mass 2500kg, radius 7.5m)

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4a) A person of mass 70kg runs tangentially to a uniform rotating disk- shaped merry-go-round (mass 2500kg, radius 7.5m)

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4a A Person Of Mass 70kg Runs Tangentially To A Uniform Rotating Disk Shaped Merry Go Round Mass 2500kg Radius 7 5m 1
4a A Person Of Mass 70kg Runs Tangentially To A Uniform Rotating Disk Shaped Merry Go Round Mass 2500kg Radius 7 5m 1 (53.85 KiB) Viewed 36 times
4a) A person of mass 70kg runs tangentially to a uniform rotating disk- shaped merry-go-round (mass 2500kg, radius 7.5m). The person matches the linear velocity of the merry-go-round and hops on. Find (i) the moment of inertia of the merry-go-round before the person hops on. [2 marks] (ii) the moment of inertia of the person alone before they hop on to the merry-go-round [2 marks] (iii) the moment of inertia of the merry-go-round and the person together. [1 mark] 4b) Initially, before the person hops on, the merry-go-round completes one revolution in 5 seconds. (n) Find the initial angular velocity of the merry-go-round. [2 marks] (ii) Use conservation of angular momentum to find the final angular velocity of the merry-go-round and person. [3 marks]
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