4a) A person of mass 70kg runs tangentially to a uniform rotating disk-shaped merry-go-round (mass 2500kg, radius 7.5m).
Posted: Sun May 15, 2022 10:13 pm
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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). 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. (i) 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] ***********************This is the end of the examination ************************* paper
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. (i) 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] ***********************This is the end of the examination ************************* paper