Question

A 320-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 34° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest?

Answer #1

A 340-N sphere 0.20 m in radius rolls without slipping 6.0 m
down a ramp that is inclined at 34° with the horizontal. What is
the angular speed of the sphere at the bottom of the slope if it
starts from rest?
in rad/s

A 350-N sphere 0.20 m in radius rolls without slipping 6.0 m
down a ramp that is inclined at 25° with the horizontal. What is
the angular speed of the sphere at the bottom of the slope if it
starts from rest? rad/s

A uniform disc of mass M=2.0 kg and radius R=0.45 m rolls
without slipping down an inclined plane of length L=40 m and slope
of 30°. The disk starts from rest at the top of the incline. Find
the angular velocity at the bottom of the incline.

A solid, uniform disk of radius 0.250 m and mass 54.1 kg rolls
down a ramp of length 3.80 m that makes an angle of 12.0° with the
horizontal. The disk starts from rest from the top of the ramp.
(a) Find the speed of the disk's center of mass when it reaches
the bottom of the ramp.
___________m/s
(b) Find the angular speed of the disk at the bottom of the
ramp.
___________rad/s

A very thin circular hoop of mass m and radius
r rolls without slipping down a ramp inclined at an angle
θ with the horizontal, as shown in the figure.
What is the acceleration a of the center of the
hoop?

A hollow sphere of radius 16cm and mass 10kg stars from rest and
rolls without slipping a distance d=6.5m down a roof that is
inclined at an angle of 36°.
a. What is the angular speed of the hollow sphere about its
center as it leaves the roof?
b. The roof’s edge is at a height of 4.5m. How far horizontally
from the roof’s edge does the hollow sphere hit the level
ground?

A solid sphere of uniform density starts from rest and rolls
without slipping a distance of d = 4.4 m down a
θ = 22°incline. The sphere has a
mass M = 4.3 kg and a radius R
= 0.28 m.
1)Of the total kinetic energy of the sphere, what fraction is
translational?
KE
tran/KEtotal =
2)What is the translational kinetic energy of the sphere when it
reaches the bottom of the incline?
KE tran =
3)What is the translational speed...

1. A solid sphere of mass 50 kg rolls without slipping. If the
center-of-mass of the sphere has a translational speed of 4.0 m/s,
the total kinetic energy of the sphere is
2.
A solid sphere (I = 0.4MR2) of
radius 0.0600 m and mass 0.500 kg rolls without slipping down an
inclined plane of height 1.60 m . At the bottom of the plane, the
linear velocity of the center of mass of the sphere is
approximately
_______ m/s.

A uniform, solid sphere of radius 3.00 cm and mass 2.00 kg
starts with a purely translational speed of 1.25 m/s at the top of
an inclined plane. The surface of the incline is 1.00 m long, and
is tilted at an angle of 25.0 ∘ with respect to the horizontal.
Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed v 2 at the bottom
of the ramp.

1. A cylindrical wooden log rolls without slipping down a small
ramp. The log has a radius of 16 cm, a length of 2.5 m, and a mass
of 130 kg. The log starts from rest near the top of the ramp. When
the log reaches the bottom of the ramp, it is rolling at a linear
speed of 2.3 m/s.
a.) Assuming that the log is a perfect cylinder of uniform
density, find the log’s moment of inertia (about...

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