Question:(8%)
Problem 17: A merry-go-round is a
playground ride that consists of a large disk mounted...
Question
(8%)
Problem 17: A merry-go-round is a
playground ride that consists of a large disk mounted...
(8%)Problem 17: 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 = 1.5 meters, and a
mass M = 261 kg. A small boy of mass m = 43 kg
runs tangentially to the merry-go-round at a speed of v =
1.5 m/s, and jumps on.
Randomized VariablesR = 1.5 meters M = 261 kg m = 43 kg v = 1.5 m/s
17% Part (a) Calculate
the moment of inertia of the merry-go-round, in kg ⋅
m^{2}. 17% 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. 17% 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. 17% 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? 17% 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?
17%
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?