Question

In the figure below, a solid cylinder of radius 14 cm and mass
17 kg starts from rest and rolls without slipping a distance
*L* = 6.0 m down a roof that is inclined at angle *θ*
= 30°.

(a) What is the angular speed of the cylinder about its center as it leaves the roof?

Answer #1

In the figure, a solid cylinder of radius 5.3 cm and mass 17 kg
starts from rest and rolls without slipping a distance L = 7.6 m
down a roof that is inclined at angle θ = 22°. (a) What is the
angular speed of the cylinder about its center as it leaves the
roof? (b) The roof's edge is at height H = 3.8 m. How far
horizontally from the roof's edge does the cylinder hit the level
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A solid cylinder of radius 14 cm and mass 12 kg starts from rest
and rolls without slipping a distance of 6 m down a house roof that
is inclined 35 degrees. Refer to the figure below. What is the
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A uniform solid disk of mass 2.20 kg and diameter 50.0 cm starts
from rest and rolls without slipping down a 30.0 ? incline that is
5.25 m long. g = 9.81 m/s2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
(b) Determine the angular speed of the disk about its center at
the bottom of the incline.
(c) Through what angle (in radians) does this disk turn...

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.

A uniform solid disk of mass 3.60 kg and diameter 45.0 cm starts
from rest and rolls without slipping down a 39.0 ? incline that is
6.25 m long. g = 9.81 m/s2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
b) Determine the angular speed of the disk about its center at
the bottom of the incline.
c) Through what angle (in radians) does this disk turn as...

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 uniform, solid sphere of radius 5.75 cm 5.75 cm and mass 3.25
kg 3.25 kg starts with a purely translational speed of 1.25 m/s
1.25 m/s at the top of an inclined plane. The surface of the
incline is 2.25 m 2.25 m long, and is tilted at an angle of 29.0 ∘
29.0∘ with respect to the horizontal. Assuming the sphere rolls
without slipping down the incline, calculate the sphere's final
translational speed ? 2 v2 at the...

A solid sphere ( of mass 2.50 kg and radius 10.0 cm) starts
rolling without slipping on an inclined plane (angle of inclination
30 deg). Find the speed of its center of mass when it has traveled
down 2.00 m along with the inclination.
Groups of choices:
a. 3.13 m/s
b. 4.43 m/s
c. 3.74 m/s
d. 6.26 m/s

A solid, homogeneous sphere with of mass of M = 2.25 kg and a
radius of R = 11.3 cm is resting at the top of an incline as shown
in the figure. The height of the incline is h = 1.65 m, and the
angle of the incline is θ = 17.3°. The sphere is rolled over the
edge very slowly. Then it rolls down to the bottom of the incline
without slipping. What is the final speed of...

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...

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