A 3.00-m-diameter merry-go-round is initially rotating with an angular speed of 1.65 rad/s. The merry-go-round is a solid, uniform disk with mass 120 kg. A child, 35.0 kg, and a parent, 65.0 kg, are standing at the edge. a) Because there are no rails on this merry-go-round, static friction provides the centripetal force. What minimum value for the coefficient of static friction between the child’s shoes and the merry-go-round surface is required to keep the child on the merry-go-round? (Apply Newton’s 2nd law in the radial direction.) b) What is the initial angular momentum of the system (merry-go-round+child+parent) about the central rotation axis? c) What is the initial rotational kinetic energy of the system
A 3.00-m-diameter merry-go-round is initially rotating with an angular speed of 1.65 rad/s. The merry-go-round is a solid, uniform disk with mass 120 kg. A child, 35.0 kg, and a parent, 65.0 kg, are standing at the edge.
a) Because there are no rails on this merry-go-round, static friction provides the
b) What is the initial
c) What is the initial rotational kinetic energy of the system?
The parent and child each move inward from the edge of the merry-go-round, stopping at a point halfway between the centre and the edge.
d) What is the new angular speed of the merry-go-round? (Consider conservation of angular momentum.)
e) What is the new rotational kinetic energy of the system? (Was mechanical energy gained or lost from the system during the move?
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R=1.50 m
m, = 65 kg
M = 120 kg
o, = +1.65 rad/s"
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