Question

A uniform solid sphere of
radius r = 0.410 m and
mass m = 13.0 kg
turns clockwise about a vertical axis through its center
(when viewed from above), at an angular speed
of 3.20 rad/s. What is its vector angular momentum
about this axis? (Enter the magnitude
in kg · m^{2}/s.)

magnitude ?

direction?

Answer #1

2) A solid sphere with mass 2kg and radius 0.2 meters is
rotating clockwise about its center with ωi =5 rad/s. a) Find its
Moment of Inertia. b) We want to double its angular speed in 3 full
turns of the sphere. Find its acceleration.c) A constant force is
acting on the edge with 135 degrees angle. Find the Force needed to
for this acceleration

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

A uniform disk of mass Mdisk = 4 kg and radius R =
0.24 mhas a small block of mass mblock = 2.2 kg on its
rim. It rotates about an axis a distance d = 0.16 m from its center
intersecting the disk along the radius on which the block is
situated.
What is the moment of inertia of the block about the rotation
axis?
What is the moment of inertia of the disk about the rotation
axis?
When...

A solid disk is rotating about a frictionless axle with an
initial angular velocity of 15 rad/s in a clockwise direction. The
disk has a mass of 5.0 kg and a radius of 15 cm. A force of 20 N is
applied to the disk for 0.5 s. This force is applied in a direction
tangent to the edge of the disk that causes the disk to increase
speed in the clockwise direction. I (disk) = ½ MR^2
a. What...

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 disk with mass m = 6.3 kg and radius R = 0.46 m hangs from a
rope attached to the ceiling. The disk spins on its axis at a
distance r = 1.53 m from the rope and at a frequency f = 19.7 rev/s
(with a direction shown by the arrow).
1)
What is the magnitude of the angular momentum of the spinning
disk?
kg-m2/s
2)
What is the torque due to gravity on the disk?
N-m
3)...

A uniform solid brass cylinder of mass 0.50 kg and radius of
0.030 m starts to rotate about its cylinder axis with an angular
velocity of 60 rad/s.
a. What is the angular momentum of the cylinder and how much
work is required to reach this rate of rotation, starting from
rest?
b. After the cylinder has reached 60 rad/s, it is heated up from
room temperature (20oC) to 100oC. The mean
coefficient of linear expansion of brass is 2.0...

A uniform solid brass cylinder of mass 0.50 kg and radius of
0.030 m starts to rotate about its cylinder axis with an angular
velocity of 60 rad/s.
a. What is the angular momentum of the cylinder and how much
work is required to reach this rate of rotation, starting from
rest?
b. After the cylinder has reached 60 rad/s, it is heated up from
room temperature (20oC) to 100oC. The mean
coefficient of linear expansion of brass is 2.0...

A solid, uniform sphere of mass 2.0 kg and radius 1.7m rolls
without slipping down an inclined plane of height 7.0m . What is
the angular velocity of the sphere at the bottom of the inclined
plane? a) 5.8 rad/s b) 11.0 rad/s c) 7.0 rad/s d) 9.9 rad/s

An 86.0 kg solid sphere of radius 0.450m start from rest and
turns with constant angular acceleration around the axle rod,
rotating through 12.6 rad in 3.50 s
a. calculate its angular velocity at this time.
b. calculate its kinetic energy at the end of this process

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