A16. A child of mass 50.0 kg stands 2.00 m from the center ofa
horizontal circular disc of radius 4.00 m and mass 200 kg. The discis
mounted on a frictionless, vertical axis. Initially both the childand the
disc are at rest. (Hint: so what is their combined initialangular
momentum?) The child then begins to run in a counterclockwise
direction. Shortly after the child starts running, it is observedthat the
disc attains a steady angular velocity of w= - 0.125rad/s ina
clockwise sense. The moment of inertia of the flat disc is givenby:
I = 1/2 mR^2
(i) Calculate the angular momentum of the disc (NOT the child)about the central vertical axis when the child has reached
its steady (constant) tangential speed.
(ii) Calculate the steady tangential speed at which the child isrunning
A16. A child of mass 50.0 kg stands 2.00 m from the center ofa
horizontal circular disc of radius 4.00 m and mass 200 kg. The discis
mounted on a frictionless, vertical axis. Initially both the childand the
disc are at rest. (Hint: so what is their combined initialangular
momentum?) The child then begins to run in a counterclockwise
direction. Shortly after the child starts running, it is observedthat the
disc attains a steady angular velocity of w= - 0.125rad/s ina
clockwise sense. The moment of inertia of the flat disc is givenby:
I = 1/2 mR^2
(i) Calculate the angular momentum of the disc (NOT the child)about the central vertical axis when the child has reached
its steady (constant) tangential speed.
(ii) Calculate the steady tangential speed at which the child isrunning
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