Question

A playground merry-go-round with a moment of inertia of 300 kg
m^{2} 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 write the
units.

Answer #1

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 5.0-m radius playground merry-go-round with a moment of
inertia of 2000 kg?m2 is rotating freely with an angular speed of
3.0 rad/s. Two people, each having a mass of 60 kg are standing
right outside the edge of the merry-go-round. One person radially
steps on the edge merry-go-round with negligible speed and the
angular speed changes to ?1. A few seconds later, the second person
radially steps on the merry-go-round with negligible speed but at
distance of 4.0 m...

A 5.0-m radius playground merry-go-round with a moment of
inertia of 2000 kg?m2 is rotating freely with an angular speed of
3.0 rad/s. Two people, each having a mass of 60 kg are standing
right outside the edge of the merry-go-round. One person radially
steps on the edge merry-go-round with negligible speed and the
angular speed changes to ?1. A few seconds later, the second person
radially steps on the merry-go-round with negligible speed but at
distance of 4.0 m...

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 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...

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 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 of 3m and a moment of
inertia of 1500 kg m^2. 4 kids sit at the outer edge with each kid
having a mass of 20 kg, and the merry-go-round spins at 1.75 rad/s.
If 2 of the 4 kids move to a position that is 0.3m from the center
of the merry-go-round, what is the new rotational speed of the
merry-go-round? No energy is lost to friction and the children are
point masses.

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 playground merry-go-round of radius ? = 2.0 m has a moment of
inertia ? = 250 kg ⋅ m^2 is rotating at 15 rpm about a
frictionless, vertical axle. Facing the axle, a 25-kg child hops
onto the merry-goround and manages to sit down on the edge. (a) (10
pts) What is the total angular momentum of the
‘merry-go-round-child’ system before and after the child hops on
the the merry-go-round? (b) (10 pts) What is the new angular speed,...

A merry-go-round with a moment of inertia equal to 1250kg?m2 and
a radius of 2.5 m rotates with negligible friction at 1.70 rad/s. A
child initially standing still next to the merry-go-round jumps
onto the edge of the platform straight toward the axis of rotation,
causing the platform to slow to 1.35 rad/s.What is her mass?

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