Question

A merry-go-round with a a radius of R = 1.75 m and moment of
inertia I = 182 kg-m^{2} is spinning with an initial
angular speed of ω = 1.4 rad/s in the counter clockwise direection
when viewed from above. A person with mass m = 71 kg and velocity v
= 4.4 m/s runs on a path tangent to the merry-go-round. Once at the
merry-go-round the person jumps on and holds on to the rim of the
merry-go-round.

1)What is the magnitude of the initial angular momentum of the
merry-go-round?

kg-m^{2}/s

2)What is the magnitude of the angular momentum of the person 2
meters before she jumps on the merry-go-round?

kg-m^{2}/s

3)What is the magnitude of the angular momentum of the person
just before she jumps on to the merry-go-round?

kg-m^{2}/s

4)What is the angular speed of the merry-go-round after the
person jumps on?

rad/s

5)Once the merry-go-round travels at this new angular speed,
with what force does the person need to hold on?

N

6)

Once the person gets half way around, they decide to simply let go of the merry-go-round to exit the ride.

What is the magnitude of the linear velocity of the person right
as they leave the merry-go-round?

m/s

7)What is the angular speed of the merry-go-round after the person lets go?

Answer #1

A merry-go-round with a a radius of R = 1.84 m and moment of
inertia I = 206 kg-m2 is spinning with an initial
angular speed of ? = 1.54 rad/s in the counter clockwise direection
when viewed from above. A person with mass m = 66 kg and velocity v
= 4.5 m/s runs on a path tangent to the merry-go-round. Once at the
merry-go-round the person jumps on and holds on to the rim of the
merry-go-round.
1)...

A merry-go-round with a a radius of R = 1.75 m and moment of
inertia I = 182 kg-m2 is spinning with an initial
angular speed of ω = 1.4 rad/s in the counter clockwise direction
when viewed from above. A person with mass m = 71 kg and velocity v
= 4.4 m/s runs on a path tangent to the merry-go-round. Once at the
merry-go-round the person jumps on and holds on to the rim of the
merry-go-round.
3)...

A merry-go-round with a a radius of R = 1.84 m and moment of
inertia I = 186 kg-m2 is spinning with an initial
angular speed of ω = 1.55 rad/s in the counter clockwise direection
when viewed from above. A person with mass m = 51 kg and velocity v
= 5 m/s runs on a path tangent to the merry-go-round. Once at the
merry-go-round the person jumps on and holds on to the rim of the
merry-go-round.
What...

A merry-go-round with a a radius of R = 1.66 m and moment of
inertia I = 217 kg-m2 is spinning with an initial
angular speed of ω = 1.57 rad/s in the counter clockwise direection
when viewed from above. A person with mass m = 61 kg and velocity v
= 4.8 m/s runs on a path tangent to the merry-go-round. Once at the
merry-go-round the person jumps on and holds on to the rim of the
merry-go-round.
4)...

A merry-go-round with a a radius of R = 1.62 m and moment of
inertia I = 215 kg-m2 is spinning with an initial
angular speed of ω = 1.52 rad/s in the counter clockwise direection
when viewed from above. A person with mass m = 56 kg and velocity v
= 4.6 m/s runs on a path tangent to the merry-go-round. Once at the
merry-go-round the person jumps on and holds on to the rim of the
merry-go-round.
What...

Merry Go
Round
A merry-go-round
with a radius of R = 1.80 m and moment of inertia I
= 201
kg-m2
spinning with an
initial angular speed of ω = 1.5 rad/s in the counter clockwise
direction when viewed from above. A person with mass m =
55
kg and velocity v
= 4.5
m/s runs on a path
tangent to the merry-go-round. Once at the merry-go-round the
person jumps on and holds on to the rim of the
merry-go-round....

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 playground merry-go-round with a moment of inertia of 300 kg
m2 is rotating with no friction at an angular velocity
of 2.3 rad/s. Sharon, whose mass is 70 kg, runs and jumps on the
merry-go-round in such a way that after she jumps on it the
merry-go round stops. How fast, in m/s was she running if the
merry-go-round had a radius of 2.5 m? Enter only the numerical
value of your answer to 2 significant figures. Do not...

A playground merry-go-round has a radius of 3.0 m and a
rotational inertia of 600 kg-m^2. When the merry-go-round is at
rest, a 20-kg child runs at 5.0 m/s along a line tangent to the rim
and jumps on. The angular velocity of the merry-go-round is
then:
.45 rad/s
1.2 rad/s
.38 rad/s
.56 rad/s
.71 rad/s

A playground merry-go-round has a radius R and a rotational
inertia I. When the merry-go-round is at rest, a child with mass m
runs with speed v along a line tangent to the rim and jumps on. The
angular velocity of the merry-go-round is then

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