Question

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.

Answer #1

Find the moment of inertia of a uniform hollow sphere of mass M,
inner radius r, and outer radius R > r, about an axis through
the center of mass. Consider your answer for the cases r → 0 and r
→ R. Does the result reduce correctly? Explain.

A hollow sphere and a solid sphere each have the same mass and
radius. They are released simultaneously from rest and allowed to
roll without slipping down a ramp. Which one reaches the bottom
first? Group of answer choices
the solid sphere
You can't determine which is first unless you know the mass.
You can't determine which is first unless you know the
radius.
They reach the bottom at the same time.
the hollow sphere

A hollow sphere and a solid sphere each have the same mass and
radius. They are released simultaneously from rest and allowed to
roll without slipping down a ramp. Which one reaches the bottom
first?
Group of answer choices
You can't determine which is first unless you know the
radius..
You can't determine which is first unless you know the mass.
They reach the bottom at the same time.
the hollow sphere
the solid sphere

A solid sphere of mass, M, and radius, R, is
rigidly attached to a strong thin rod of radius r that
passes through the sphere at a distance of R/2. A string
wrapped around the rod pulls with tension T. The rod's
moment of inertia is negligible.
(a) Find an expression for the sphere's angular
acceleration.
(b) If the sphere has a mass of 5.5 kg and a radius of 25 cm,
how much tension must be applied to 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

At any angular speed, a certain uniform solid cylinder of
diameter D has twice as much rotational kinetic energy as a certain
uniform thin-walled hollow cylinder of the same diameter when both
are spinning about an axis through their centers. If the mass of
the hollow cylinder is m, the mass of the solid cylinder is
A) 1/4 m. B) 1/2 m. C) m. D) 4 m. E) 8 m.

A solid sphere with mass M=4.2kg and radius R=0.25m rolls across
the floor without slipping. If the sphere has a totoal kinetic
energy of K=6.5J what is the angular speed?

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 solid wheel and a hollow cylinder each having equal mass and
radius (20kg and 0.50 m) are set
into rotation by descending masses of 4.0kg . What is the angular
acceleration of each object?

A sphere of solid aluminum (r = 2.7 g/cm3 ) has a radius R, a
mass M, and a moment of inertia I0 about its center. A second
sphere of solid aluminum has a different mass M’ with a radius 2R.
What is the moment of inertia of the second sphere about its center
I in terms of the first sphere I0? Mass should not appear in your
answer (4 points).

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 2 minutes ago

asked 4 minutes ago

asked 21 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 32 minutes ago

asked 32 minutes ago

asked 45 minutes ago

asked 51 minutes ago

asked 54 minutes ago