Question

A girl and a boy push a merry go round that is initially at rest. The boy applies 20 N force from 1.0 meter away from the center tangentially and the girl applies T2=40 N from 0.9 m away from the center tangentially both rotating counterclockwise. Merry go round is a solid disc of radius 1.0 m and with mass m=80kg. a) Calculate the moment of inertia of the merry go round b) Calculate the net torque c) Calculate its angular acceleration

Answer #1

A merry-go-round (radius = 4 m) with a perfect frictionless
bearing is pushed with a force of 24 N by a young girl. She pushes
with a constant force that is oriented tangentially to the
edge of the merry-go-round. After she pushes the merry-go-round
through 14 full rotations (at which point she lets go) it is
spinning with an angular speed of 3 rad/s.
a) What is the moment of inertia of the merry-go-round?
b) After the girl lets go,...

A 220 kg merry-go-round that is 2.1 meters in radius is rotating
with a 24 kg girl standing 1 meter from the center. It is rotating
with a period of 3.2 seconds.
1. What is the angular velocity of the merry-go-round?
2. What is the total moment of inertia of the merry-go-round and
girl?
3. What is the total angular momentum of the merry-go-round and
girl?
A 220 kg merry-go-round that is 2.1 meters in radius is rotating
with a...

Torques and Angular Momentum
1. A 250 kg playground merry-go-round has a radius of 2.0m and
can be approximated as a disk.
A.Find the moment of inertia of the merry-go-round.
B.A 30.0 kg child applies 20 N tangential force for 10 seconds
and then jumps on the edge while moving at the same speed as the
merry-go-round. Find the angular speed of the merry-go-round and
the child.
C.How much work did the child do on the merry-go-round?
D.How much average...

(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...

A 24.5-kg child is standing on the outer edge of a horizontal
merry-go-round that has a moment of inertia of about a vertical
axis through its center and a radius of 2.40 m. The entire system
(including the child) is initially rotating at 0.180 rev/s. Find
the angular velocity if the child moves to a new position 1.10 m
from the center of the merry-go-round... Please explain!!

A playground merry-go-round has a moment of inertia of 600 kg
m2. When the merry-go-round is at rest, a 20 kg boy runs
at 5.9 m/s along a line tangential to the rim and jumps on, landing
on the rim a distance of 3.0 m from the rotation axis of the
merry-go-round. The angular velocity of the merry-go-round is
then:
A.1.2 rad/s
B.0.38 rad/s
C.0.45 rad/s
D.0.56 rad/s
E.0.72 rad/s

A merry-go-round at a playground is rotating at 6.0 rev/min.
Four children jump on and increase the moment of inertia of the
merry-go-round by 30%.
What is the new rotation rate? What torque must be applied by
the merry-go-roundâ€™s motor in order to restore the initial rotation
rate within 30 seconds or 0.5 minutes?

1)
You wish to accelerate a small merry-go-round from rest to a
rotational speed of one-fourth of a revolution per second by
pushing tangentially on it. Assume the merry-go-round is a disk
with a mass of 300 kg and a radius of 2.00 m .
Ignoring friction, how hard do you have to push tangentially to
accomplish this in 6.00 s ? (Use energy methods and assume a
constant push on your part.)
F=?
2)
A person opens a door...

A 38.0-kg girl sits on a 390-kg playground "merry-go-round"
(large rotating disk). Initally she sits at a radium of 1.00m from
the center and it spins at a rate of one turn in 2.60 s. Consider
what happens when she carefully moves to the outside edge of the
merry-go-round.
a) If the radius of the disk is 3.50 m, compute its angular
speed once the girl has made it all the way to the rim. Approximate
the "merry-go-round" as an...

A 47.0-kg girl sits on a 330-kg playground "merry-go-round"
(large rotating disk). Initally she sits at a radium of 1.00m from
the center and it spins at a rate of one turn in 2.60 s. Consider
what happens when she carefully moves to the outside edge of the
merry-go-round.
If the radius of the disk is 3.50 m, compute its angular speed
once the girl has made it all the way to the rim. Approximate the
"merry-go-round" as an ideal...

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