You are on the edge of a merry-go-round that has a moment of Inertia IM, radius...
You are on the edge of a merry-go-round that has a moment of
Inertia IM, radius R, and an initial angular speed of ωo spinning
in the cw direction. You may take your mass as Mu. Beside you is a
pile of 5 snowballs each of mass ms. You will throw each of these
tangentially (such that your location on the Merry-GoRound is their
point of closest approach during their trajectories) with speed v
in the direction needed to speed up the Merry-Go-Round. What is the
angular speed of the Merry-goround after throwing all 5
snowballs?
Homework Answers
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You are on the edge of a merry-go-round that has a moment of
Inertia IM, radius...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed 0.50 rad/s in the clockwise direction about a fixed axis. A child of mass 40 kg runs tangentially to the merry-go-round with speed 3.0m/s and grabs onto the outside edge of the merry-go-round. a. What is the final angular velocity of the system (merry-go-round plus child)/ What is the final tangential speed of the child? b. What is the change in kinetic energy? c....
A playground merry-go-round has radius 2.50 m and moment of inertia 2000 kg⋅m2 about a vertical...
A playground merry-go-round has radius 2.50 m and moment of inertia 2000 kg⋅m2 about a vertical axle through its center, and it turns with negligible friction. part a A child applies an 23.5 N force tangentially to the edge of the merry-go-round for 22.0 s . If the merry-go-round is initially at rest, what is its angular speed after this 22.0 s interval? part b How much work did the child do on the merry-go-round? part c What is 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
A playground merry-go-round of radius R = 2.10 m has a moment of inertia of I...
A playground merry-go-round of radius R = 2.10 m has a moment of inertia of I = 260 kgm2 and is rotating at 11.0 rev/min about a frictionless vertical axis. Facing the axle, a 23.0 kg child hops on to the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round?
A 90-kg merry-go-round of radius 2.0 m is spinning at a constant speed of 20 revolutions...
A 90-kg merry-go-round of radius 2.0 m is spinning at a constant
speed of 20 revolutions per minute. A kid standing on the ground
decides to bring the merry-go-round to rest and applies a force of
10.0 N tangentially to the merry-go-round. If the merry-go-round is
modelled as a solid cylinder, (A) calculate its moment of inertia.
(B) What is the angular acceleration of the merry-go-round? (C) How
many revolutions will the merry-go-round complete until it finally
stops?
1) [25...
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I =...
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg · m2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 24.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I =...
A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 245 kg · m2 and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round? rev/min
A playground merry-go-round of radius R = 2.2C m has a moment of inertia I =...
A playground merry-go-round of radius R = 2.2C m has a moment of inertia I = 265 kg middot m^2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
A girl moves quickly to the center of a spinning merry-go-round, traveling along the radius of the merry-go-round. Wh...
A girl moves quickly to the center of a spinning merry-go-round, traveling along the radius of the merry-go-round. Which of the following statements are true? Check all that apply. Check all that apply. The angular speed of the system increases. The moment of inertia of the system remains constant. The angular speed of the system decreases. The moment of inertia of the system increases. The moment of inertia of the system decreases. The angular speed of the system remains constant.
A playground merry-go-round of radius R = 2.20 m has a moment of inertia of I...
A playground merry-go-round of radius R = 2.20 m has a moment of inertia of I = 280 kgm2 and is rotating at 11.0 rev/min about a frictionless vertical axis. Facing the axle, a 21.0 kg child hops on to the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round? 8.04 rad/s 0.845 rad/s 3.17 rad/s 1.18 rad/s 0.445 rad/s
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
A 90-kg merry-go-round of radius 2.0 m is spinning at a constant
speed of 20 revolutions per minute. A kid standing on the ground
decides to bring the merry-go-round to rest and applies a force of
10.0 N tangentially to the merry-go-round. If the merry-go-round is
modelled as a solid cylinder, (A) calculate its moment of inertia.
(B) What is the angular acceleration of the merry-go-round? (C) How
many revolutions will the merry-go-round complete until it finally
stops?
1) [25...
A playground merry-go-round of radius R = 2.2C m has a moment of inertia I = 265 kg middot m^2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
A playground merry-go-round of radius R = 2.20 m has a moment of inertia of I = 280 kgm2 and is rotating at 11.0 rev/min about a frictionless vertical axis. Facing the axle, a 21.0 kg child hops on to the merry-go-round and manages to sit down on its edge. What is the new angular speed of the merry-go-round? 8.04 rad/s 0.845 rad/s 3.17 rad/s 1.18 rad/s 0.445 rad/s
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