Question

A uniform cylindrical turntable of radius 1.70 m and mass 29.1
kg rotates counterclockwise in a horizontal plane with an initial
angular speed of 4*π* rad/s. The fixed turntable bearing is
frictionless. A lump of clay of mass 2.31 kg and negligible size is
dropped onto the turntable from a small distance above it and
immediately sticks to the turntable at a point 1.60 m to the east
of the axis.

(a) Find the final angular speed of the clay and turntable.

magnitude=_______ | rad/s |

(b) Is mechanical energy of the turntable-clay system constant in this process?

What, if any, is the change in internal energy?

=________ J

(c) Is momentum of the system constant in this process?

What, if any, is the amount of impulse imparted by the bearing?

magnitude=______ | kg · m/s |

Answer #1

*This concludes the answers. If you need any more clarification,
modification or correction, feel free to ask.*

A uniform cylindrical turntable of radius 2.00 m and mass 31.2
kg rotates counterclockwise in a horizontal plane with an initial
angular speed of 4? rad/s. The fixed turntable bearing is
frictionless. A lump of clay of mass 2.42 kg and negligible size is
dropped onto the turntable from a small distance above it and
immediately sticks to the turntable at a point 1.90 m to the east
of the axis.
1. Find the final angular speed of the clay...

A uniform cylindrical turntable of radius 1.90 m and mass 30 kg
rotates counterclockwise in a horizontal plane with an initial
angular speed of 4π rad/s. The fixed turntable bearing is
frictionless. A lump of clay of mass 2.25 kg and negligible size is
dropped onto the turntable from a small distance above it and
immediately sticks to the turntable at a point 1.80 m to the east
of the axis.
a.) Find the resulting angular speed of the clay...

A turntable has a radius R and mass M (considered as a disk) and
is rotating at an angular velocity w0 about a frictionless vertical
axis. A piece of clay is tossed onto the turntable and sticks d
from the rotational axis. The clay hits with horizontal velocity
component vc at right angle to the turntable’s radius, and in a
direction that opposes the rotation. After the clay lands, the
turntable has slowed to angular velocity w1. A) Find the...

A turntable has a radius R and mass M (considered as a disk) and
is rotating at an angular velocity W0 about a frictionless vertical
axis. A piece of clay is tossed onto the turntable and sticks d
from the rotational axis. The clay hits with horizontal velocity
component vc at right angle to the turntable’s radius, and in a
direction that opposes the rotation. After the clay lands, the
turntable has slowed to angular velocity W1. A) Find the...

A turntable has moment of inertia 1 kg m2 and rotates
with angular speed of 3 rad/s. A small heavy mass (point particle)
of mass 5 kg is placed on the turn table at 2 m from the axis of
rotation of the turn table. What is the final rotational velocity
of the system? Give your result in rad/s to three significant
figures.

A horizontal turntable is made from a uniform solid disk and is
initially rotating with angular velocity of 7.1 rad/s about a fixed
vertical axis through its center. The turntable has a radius of
0.23 m and a moment of inertia of 0.04761 kg m2 about
the rotation axis.
A piece of clay, initially at rest, is dropped onto the
turntable and sticks to it at a distance d= 0.16 m from its center
as shown in the figure. The...

A uniform disk of mass M and radius R is initially rotating
freely about its central axis with an angular speed of ω, and a
piece of clay of mass m is thrown toward the rim of the disk with a
velocity v, tangent to the rim of the disk as shown. The clay
sticks to the rim of the disk, and the disk stops rotating.
33. What is the magnitude of the total angular momentum of the
clay-disk system...

A large wooden turntable in the shape of a flat uniform disk has
a radius of 2.00 m and a total mass of 110 kg . The turntable is
initially rotating at 4.00 rad/s about a vertical axis through its
center. Suddenly, a 75.0-kg parachutist makes a soft landing on the
turntable at a point near the outer edge.
a- Find the angular speed of the turntable after the parachutist
lands. (Assume that you can treat the parachutist as a...

A large wooden turntable in the shape of a flat uniform disk has
a radius of 1.65 m and a total mass of 135 kg. The turntable is
initially rotating at 3.10 rad/s about a vertical axis through its
center. Suddenly, a 65.5-kg parachutist makes a soft landing on the
turntable at a point near the outer edge.
(a) Find the angular speed of the turntable after the
parachutist lands. (Assume that you can treat the parachutist as a
particle.)...

Each of the following objects has a radius of 0.209 m and a mass
of 2.31 kg, and each rotates about an axis through its center (as
in this table) with an angular speed of 36.0 rad/s. Find the
magnitude of the angular momentum of each object. (a) a hoop kg ·
m2/s (b) a solid cylinder kg · m2/s (c) a solid sphere kg · m2/s
(d) a hollow spherical shell kg · m2/s

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 8 minutes ago

asked 31 minutes ago

asked 31 minutes ago

asked 34 minutes ago

asked 34 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago