Question

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

Answer #1

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Four objects—a hoop, a solid cylinder, a solid sphere, and a
thin, spherical shell—each have a mass of 4.06 kg and a radius of
0.253 m.
(a) Find the moment of inertia for each object as it rotates
about the axes shown in this table.
hoop
___ kg · m2
solid cylinder
___ kg · m2
solid sphere
___ kg · m2
thin, spherical shell
___ kg · m2
(b) Suppose each object is rolled down a ramp. Rank the...

Three objects: disk, cylinder, and sphere are each rotating at 5
rads/s about an axis through their center. If the mass and radius
of each object is 5 kg and 2 m respectively.
(a) What is is the moment of inertia of each object?
(b) What is is the angular momentum of each object?

Consider the objects below, all of mass M and radius R (where
appropriate). They are placed on an incline plane at the same
height. Which object will roll down the incline and reach the
bottom with the greatest total energy?
a) A solid sphere
b) A thin spherical shell
c) A solid cylinder of length L
d) A cylindrical shell of length L
e) All will reach bottom with same energy
Group of answer choices
A solid sphere
A thin...

Use the previous table and rank the difficulty of rotating the
following objects: disk, hoop, solid sphere, or spherical shell.
Start from easiest to rotate to hardest to rotate. Assume each
objects have the same mass and same radius.
For the previous example, if a person wanted to make the moment
of inertia to be half as large, he can
A.) reduce the mass by 1/2.
B.) increase the mass by 2.
C.) reduce the radius by 1/2.
D.) reduce...

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 4π 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...

A small, solid cylinder with mass = 20 kg and radius = 0.10 m
starts from rest and rotates without friction about a fixed axis
through its center of mass. A string is wrapped around the
circumference of the cylinder and pulled using a constant force F.
The resulting angular acceleration of the cylinder is 5.0 rad/s2.
What's the angular velocity after 4.0 s, in radians per second?
(The moment of inertia of the cylinder is 1 half M R...

A hollow spherical shell has mass 8.30 kg and radius 0.205 m .
It is initially at rest and then rotates about a stationary axis
that lies along a diameter with a constant acceleration of 0.870
rad/s2 .
1.What is the kinetic energy of the shell after it has turned
through 7.00 rev ?

Two objects roll down a hill: a hoop and a solid cylinder. The
hill has an elevation change of 1.4-m and each object has the same
diameter (0.55-m) and mass. Calculate the velocity of each object
at the bottom of the hill and rank them according to their
speeds.
[Hint: When an object is rolling, the
angular speed and the velocity of the center of mass are related by
, where is the radius of the object.]
Veyi= 4.3 m/s...

Four objects with the same mass and radius roll without slipping
down an incline. If they all start at the same location, which
object will take the longest time to reach the bottom of the
incline? Mass Moment of Inertia Table Choices A. A hollow sphere B.
A solid sphere C. A thin-wall hollow cylinder D. They all take the
same time E. A solid cylinder

A hollow sphere and a solid sphere, both of mass M and radius R,
are each spinning about an axis through their centers with the same
angular speed. If the same braking torque is applied to each, which
takes longer to come to a stop?
A. hollow sphere B. solid sphere C. They both come to a stop in
an equal amount of time.

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