Question

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 ?

Answer #1

A hollow spherical shell with mass 2.35 kg rolls without
slipping down a slope that makes an angle of 35.0 ? with the
horizontal. Find the magnitude of the acceleration acm of the
center of mass of the spherical shell. Take the free-fall
acceleration to be g = 9.80 m/s2 .Find the magnitude of the
frictional force acting on the spherical shell. Take the free-fall
acceleration to be g = 9.80 m/s2 .

A uniform spherical shell of mass M = 17.0 kg and radius R =
0.310 m can rotate about a vertical axis on frictionless bearings
(see the figure). A massless cord passes around the equator of the
shell, over a pulley of rotational inertia I = 0.210 kg·m2 and
radius r = 0.100 m, and is attached to a small object of mass m =
1.50 kg. There is no friction on the pulley's axle; the cord does
not slip...

A uniform spherical shell of mass M = 3.2 kg and radius
R = 7.8 cm can rotate about a vertical axis on
frictionless bearings (see figure below). A massless cord passes
around the equator of the shell, over a pulley of rotational
inertia I = 3.0 ? 10?3 kg · m2 and
radius r = 5.0 cm, and is attached to a small object of
mass m = 0.60 kg. There is no friction on the pulley's
axle; the...

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
5.0 kg hollow cylinder of radius 0.28 m rotates freely about an
axle that runs through its center and along its long axis. A cord
is wrapped around the cylinder and is pulled straight from the
cylinder with a steady tensile force of 50N. As the cord unwinds,
the cylinder rotates, with no slippage between the cord and the
cylinder.
A) calculate the work done by the tensile force as the
cylinder rotates through 1000 rad.
B) if the...

A uniform spherical shell of mass M = 14.0 kg and
radius R = 0.770 m can rotate about a vertical axis on
frictionless bearings (see the figure). A massless cord passes
around the equator of the shell, over a pulley of rotational
inertia I = 0.170 kg·m2 and radius r =
0.0950 m, and is attached to a small object of mass m =
3.50 kg. There is no friction on the pulley's axle; the cord does
not slip...

A hollow sphere (spherical shell) is rolling down an incline.
The incline has an angle theta, the sphere has a radius of R, and
mass M. Please calculate the acceleration of the sphere has it
rolls down the hill.

A solid cylinder of radius 0.5 m and mass 5.0 kg, initially at
rest, starts to rotate about an axis through its center, with an
angular acceleration of 0.2 rad/s^2.
(a) Assuming a piece of string is wrapped around the cylinder,
in such a way that the turning cylinder pulls the string onto
itself, what is the total length of string wrapped on the cylinder
at t= 10s?
(b) What is the linear acceleration of a knot in the string...

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 wheel 1.55 m in
diameter lies in a vertical plane and rotates about its central
axis with a constant angular acceleration of 3.65
rad/s2. The wheel starts at rest at t
= 0, and the radius vector of a certain
point P on the rim makes
an angle of 57.3

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