A child sits at the outer edge of a merry-go-round (MGR) at a neighborhood park. The...
A child sits at the outer edge of a merry-go-round (MGR) at a neighborhood park. The MGR has a radius of R = 1.5m and a rotational inertia of IMGR = 140kgm2. The child has a mass of 40kg and contributes some to the rotational inertia of the spinning system: I = IMGR + IChild.
The MGR is spinning with an angular speed of 2.0s−1 when the child begins dragging her foot on the ground to bring the MGR to a stop. Model the foot-drag as a constant force of magnitude 9.0N applied tangent to the circular profile of the MGR. Except for this foot-drag assume there are no other torques acting.
How many revolutions will the MGR complete before it comes to a
stop? Give a numerical answer. (The answer does not have to be an
integer.)
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A child sits at the outer edge of a merry-go-round (MGR) at a
neighborhood park. The...
Starting at rest, a child applies a 63N force tangent to the edge of a merry-go-round...
Starting at rest, a child applies a 63N force tangent to the
edge of a merry-go-round through 31 2 rotations. At that moment,
she stops and admires her spinning merry-go-round. Then she jumps
onto the edge of the merry-go-round. The girl’s mass is 25kg, the
merry-go-round’s moment of inertia is 70kg· m2, and the
merrygo-round’s diameter is 2.0m. What is the final angular speed of
the girl and merry-go-round?
Child applies tangential force. Fan
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edge of a merry-go-round through 31 2 rotations. At that moment,
she stops and admires her spinning merry-go-round. Then she jumps
onto the edge of the merry-go-round. The girl’s mass is 25kg, the
merry-go-round’s moment of inertia is 70kg· m2, and the
merrygo-round’s diameter is 2.0m. What is the final angular speed of
the girl and merry-go-round?
Child applies tangential force. Fan
A 24.5-kg child is standing on the outer edge of a merry-go-round which has moment of inertia of 989 kg m-and radius 2.40 m. T rotating at 0.18 rev/s. Find the angular velocity if the child moves to a final position 1.10 m from the center of the merry-go-round
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