Question

A merry-goround (disk of mass m = 200 kg, radius R = 1.6m) is rotating clockwise at a an angular speed of w = 0.5 rad s . A kid of mass m = 50kg is riding on the edge of the merry-go-round. At a particular point in time, the kid jumps off the merry-go-round at a speed v = 5.0 m/s relative to the ground, at an angle of 53 degrees below the x-axis. Part 1: What is the initial angular momentum of the system (kid + merry-go-round)? Part 2: What is the final angular velocity of the merry-go-round?

Answer #1

On a playground, a merry-go-round with a total mass of 100 kg
and a radius of 2.5mis rotating counterclockwise around its center
with an angular speed of 0.5 rad/s. A girl with a mass of 40 kgruns
at a speed of 4 m/s towards the edge of the merry-go-round and
jumps on, as shown. What is the angularvelocity (magnitude and
direction) of the merry-go-round after the girl lands on it? Assume
the merry-go-roundis a uniform disk and treat the girl...

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 = 1.84 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 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 = 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...

Two children, each with a mass of 24.6 kg, are at fixed
locations on a merry-go-round (a disk that spins about an axis
perpendicular to the disk and through its center). One child is
0.78 m from the center of the merry-go-round, and the other is near
the outer edge, 2.79 m from the center. With the merry-go-round
rotating at a constant angular speed, the child near the edge is
moving with translational speed of 11.0 m/s.
(a) What is...

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 playground ride consists of a disk of mass M = 59 kg
and radius R = 1.9 m mounted on a low-friction axle. A
child of mass m = 18 kg runs at speed v = 2.2 m/s
on a line tangential to the disk and jumps onto the outer edge of
the disk.
(b) Relative to the axle, what was the magnitude of the angular
momentum of the child before the collision?
L|C| =
(c) Relative to the...

Two children, Angelica (mass 25 kg) and Boris (mass 50 kg), are
playing on a merry-go-round (which you can assume is a solid disk
with mass 225 kg and radius 1.5m). Assume that any friction on the
axle of the merry-go-round is negligible.
Part A: Angelica starts spinning the merry-go-round, giving it
an angular velocity of 8 rad/s, then she stops pushing it. Boris
runs with a speed of 6 m/s directly toward the center of the
merry-go-round. He jumps...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 2 minutes ago

asked 14 minutes ago

asked 14 minutes ago

asked 32 minutes ago

asked 33 minutes ago

asked 33 minutes ago

asked 35 minutes ago

asked 42 minutes ago

asked 57 minutes ago

asked 59 minutes ago

asked 59 minutes ago