Question

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 angular speed of the cylinder just before it leaves the house roof?

Answer #1

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?

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
ground?

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 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 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 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 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...

3) A solid cylinder with mass 4kg and radius r=0.5 m rolls
without slipping from a height of 10 meters on an inclined plane
with length 20 meters. a) Find the friction force so that it rolls
without slipping b) Calculate the minimum coefficient of rolling
friction mu c) Calculate its speed as it arrives at the bottom of
the inclined plane

A solid metal ball starts from rest and rolls without slipping a
distance of d = 4.2 m down a θ = 38° ramp. The ball has uniform
density, a mass M = 4.7 kg and a radius R = 0.33 m.
What is the magnitude of the frictional force on the sphere?

A solid metal ball starts from rest and rolls without slipping a
distance of d = 4.2 m down a θ = 38° ramp. The ball has uniform
density, a mass M = 4.7 kg and a radius R = 0.33 m.
What is the magnitude of the frictional force on the sphere?

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