Question

A spherical shell with a mass of 0.41 and a radius of 0.29 is to
roll across the level ground under a constant angular acceleration
of 2.7 rad/s^{2}. It is starts from rest, after what amount
of time will its **total** kinetic energy be 60.5?

The moment of inertia for a spherical shell is

Answer #1

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 ?

A hollow spherical shell has mass
7.85 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
0.910 rad/s2 .
A) What is the kinetic energy of the shell after it
has turned through 7.00 rev ?

A spherical shell and thin cylindrical shell with the same mass
and radius roll at the same velocity side by side on a level
surface without slipping. If the two objects subsequently approach
and roll up an inclined plane without slipping, how much higher
will the cylindrical shell go before they both stop?

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 spherical shell of radius 2.59 cm and a sphere of radius 9.22
cm are rolling without slipping along the same floor. The two
objects have the same mass. If they are to have the same total
kinetic energy, what should the ratio of the spherical shell\'s
angular speed to the sphere\'s angular speed be?

A spherical shell of radius 3.84 cm and a cylinder of radius
7.22 cm are rolling without slipping along the same floor. The two
objects have the same mass. If they are to have the same total
kinetic energy, what should the ratio of the spherical shell's
angular speed to the cylinder's angular speed be?

A spherical shell of radius 2.34 cm2.34 cm and a sphere of
radius 8.97 cm8.97 cm are rolling without slipping along the same
floor. The two objects have the same mass. If they are to have the
same total kinetic energy, what should the ratio of the spherical
shell's angular speed ?shlωshl to the sphere's angular speed
?sphωsph be?

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. (The moment of inertia of the cylinder is
1/2 MR^2.)
1. What's the force F, in Newtons?
2. What's the angular velocity after...

A spherical ball with mass 0.2 kg and
radius 0.1 meters laying on a table. It is hit by a perpendicular
force on the top which makes it roll with an acceleration of 0.3
m/s
a) Find the angular
acceleration b) Find the moment of inertia c)
Find the Torque(net) d) Find Fnet
e) Find the external force and the
friction force using Newton’s second law for linear and rotational
motion

A uniform hollow spherical ball of mass 1.75 kg and radius
40.0 cm is rolling up a ramp that rises at
30.0° above the horizontal. Speed of the ball at the base of
the ramp is 8.20 m/s. Moment of inertia of
2 hollow sphere is given by I=(2/3)m r . (a) What is the
angular velocity of the ball at the base of the ramp?
(b) Determine how far up the ramp does it roll before it
starts to...

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