Question

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.

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 hollow sphere (mass 8.8 kg, radius 54.8 cm) is rolling without
slipping along a horizontal surface, so its center of mass is
moving at speed vo. It now comes to an incline that makes an angle
56o with the horizontal, and it rolls without slipping up the
incline until it comes to a complete stop. Find a, the magnitude of
the linear acceleration of the ball as it travels up the incline,
in m/s2.

A hollow spherical shell with mass 2.45 kg rolls without
slipping down a slope that makes an angle of 30.0 degrees with the
horizontal.
Find the minimum coefficient of friction μ needed to prevent the
spherical shell from slipping as it rolls down the slope.

9.46
A solid uniform sphere and a uniform spherical shell, both
having the same mass and radius, roll without slipping down a hill
that rises at an angle θθ above the horizontal. Both spheres start
from rest at the same vertical height hh.
Part A:
How fast is each sphere moving when it reaches the bottom of the
hill?
v,solid = ?
Part B:
v,hollow = ?

A hollow sphere (mass M, radius R) starts from rest at the top
of a hill of height H. It rolls down the hill without slipping.
Find an expression for the speed of the ball's center of mass once
it reaches the bottom of the hill.

A spherical shell of mass M is released from rest and rolls
without slipping down a 40.00 sloped hill. Determine the
center of mass speed of the object when the ball has rolled 6.00
meters along the hill. Ignore any thickness of the shell. Please
show work and possible thoughts

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 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...

A solid sphere of weight 37.0 N rolls up an incline at an angle
of 23.0°. At the bottom of the incline the center of mass of the
sphere has a translational speed of 5.10 m/s. (a) What is the
kinetic energy of the sphere at the bottom of the incline? (b) How
far does the sphere travel up along the incline? (c) Does the
answer to (b) depend on the sphere's mass?

A hollow cylinder (hoop) of mass M and radius R starts rolling
without slipping (with negligible initial speed) from the top of an
inclined plane with angle theta. The cylinder is initially at a
height h from the bottom of the inclined plane. The coefficient of
friction is u. The moment of inertia of the hoop for the rolling
motion described is I= mR^2.
a) What is the magnitude of the net force and net torque acting
on the hoop?...

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