In the figure, a solid cylinder of radius 6.1 cm and mass 20 kg starts from...
In the figure, a solid cylinder of radius 6.1 cm and mass 20 kg starts from rest and rolls without slipping a distance L = 7.4 m down a roof that is inclined at angle θ = 25°. (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 = 3.9 m. How far horizontally from the roof's edge does the cylinder hit the level ground?
Homework Answers
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In the figure, a solid cylinder of radius 6.1 cm and mass 20 kg
starts from...
In the figure, a solid cylinder of radius 16 cm and mass 24 kg starts from...
In the figure, a solid cylinder
of radius 16 cm and mass 24 kg starts from rest and rolls without
slipping a distance L = 5.3 m down a roof that is inclined at angle
θ = 20°. (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 =
6.9 m. How far horizontally from the roof's edge does the cylinder
hit the level ground?
In the figure, a solid cylinder of radius 13 cm and mass 16 kg starts from...
In the figure, a solid cylinder of radius 13 cm and mass 16 kg
starts from rest and rolls without slipping a distance L =
8.0 m down a roof that is inclined at angle θ = 32°.
(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 = 4.4 m. How far horizontally
from the roof's edge does the cylinder hit the level ground?
In the figure, a solid cylinder of radius 8.6 cm and mass 17 kg starts from...
In the figure, a solid cylinder of radius 8.6 cm and mass 17 kg starts from rest and rolls without slipping a distance L = 4.5 m down a roof that is inclined at angle θ = 26°. (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 = 3.6 m. How far horizontally from the roof's edge does the cylinder hit the level ground?
In the figure, a solid cylinder of radius 21 cm and mass 11 kg starts from...
In the figure, a solid cylinder of radius 21 cm and mass 11 kg starts from rest and rolls without slipping a distance L = 5.5 m down a roof that is inclined at angle θ = 24% (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 3.1 m. How far horizontally from the roof's edge does the cylinder hit the level ground? Units...
In the figure, a solid cylinder of radius 8.6 cm and mass 10 kg starts from...
In the figure, a solid cylinder of radius 8.6 cm and mass 10 kg starts from rest and rolls without slipping a distance L-4.4 m down a roof that is inclined at angle 0 = 36(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-4.4 m. How far horizontally from the roof's edge does the cylinder hit the level ground? (a) Number Units (b) Number...
A solid cylinder of radius 10 cm and mass 13 kg starts from rest and rolls without slipping a distance of 6.0 m down a house roof that is inclined at 30°
A solid cylinder of radius 10 cm and mass 13 kg starts from rest and rolls without slipping a distance of 6.0 m down a house roof that is inclined at 30°. (See the figure.) What is the angular speed of the cylinder about its center as it leaves the house roof? The outside wall of the house is 5 m high. How far from the edge of the roof does the cylinder hit the level ground?
The following problem is not multiple choice. Final numerical answer is not sufficient to get full...
The following problem is not multiple choice. Final numerical answer is not sufficient to get full credits on the problem. You need to explain what you did and what you used to get your answers. A solid cylinder of radius 20 cm and mass 12 kg starts from rest and rolls without slipping a distance L=8 m down a roof that is inclined at angle 30°. (a) What is the angular speed of the cylinder about its center as it...
A ball with a radius r and a mass m starts from rest and then rolls...
A ball with a radius r and a mass m starts from rest and then
rolls without slipping a distance L down a roof sloped at an angle
θ. The ball comes off the roof a height H above the ground. Derive
an expression for the ball’s speed v, just as it leaves the roof,
in terms of g, L, and θ:
A. If the ball is a solid sphere.
B.If the ball is a hollow sphere.
C. For each...
09.1 A uniform solid cylinder of mass Mand radius R is initially at rest on a...
09.1 A uniform solid cylinder of mass Mand radius R is initially at rest on a fixed ramp inclined at an angle of θ with respect to the horizontal, as shown. The coefficent of static friction is us 0.40. What is the maximum angle θ such that the cylinder rolls without slipping down the incline?
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10...
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10 cm starts from rest and rolls without slipping down a 1.0 m-high inclined plane. What is the speed of the cylinder when it reaches the bottom of the inclined plane? (b) How about a solid sphere of the same mass and radius? (c) How about a hoop of the same mass and radius? (d) Which of the above objects is moving fastest when it...
In the figure, a solid cylinder
of radius 16 cm and mass 24 kg starts from rest and rolls without
slipping a distance L = 5.3 m down a roof that is inclined at angle
θ = 20°. (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 =
6.9 m. How far horizontally from the roof's edge does the cylinder
hit the level ground?
In the figure, a solid cylinder of radius 13 cm and mass 16 kg
starts from rest and rolls without slipping a distance L =
8.0 m down a roof that is inclined at angle θ = 32°.
(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 = 4.4 m. How far horizontally
from the roof's edge does the cylinder hit the level ground?
In the figure, a solid cylinder of radius 21 cm and mass 11 kg starts from rest and rolls without slipping a distance L = 5.5 m down a roof that is inclined at angle θ = 24% (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 3.1 m. How far horizontally from the roof's edge does the cylinder hit the level ground? Units...
In the figure, a solid cylinder of radius 8.6 cm and mass 10 kg starts from rest and rolls without slipping a distance L-4.4 m down a roof that is inclined at angle 0 = 36(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-4.4 m. How far horizontally from the roof's edge does the cylinder hit the level ground? (a) Number Units (b) Number...
The following problem is not multiple choice. Final numerical answer is not sufficient to get full credits on the problem. You need to explain what you did and what you used to get your answers. A solid cylinder of radius 20 cm and mass 12 kg starts from rest and rolls without slipping a distance L=8 m down a roof that is inclined at angle 30°. (a) What is the angular speed of the cylinder about its center as it...
A ball with a radius r and a mass m starts from rest and then
rolls without slipping a distance L down a roof sloped at an angle
θ. The ball comes off the roof a height H above the ground. Derive
an expression for the ball’s speed v, just as it leaves the roof,
in terms of g, L, and θ:
A. If the ball is a solid sphere.
B.If the ball is a hollow sphere.
C. For each...
09.1 A uniform solid cylinder of mass Mand radius R is initially at rest on a fixed ramp inclined at an angle of θ with respect to the horizontal, as shown. The coefficent of static friction is us 0.40. What is the maximum angle θ such that the cylinder rolls without slipping down the incline?
2. Rolling down the hill (a) A solid cylinder of mass 1.0 kg and radius 10 cm starts from rest and rolls without slipping down a 1.0 m-high inclined plane. What is the speed of the cylinder when it reaches the bottom of the inclined plane? (b) How about a solid sphere of the same mass and radius? (c) How about a hoop of the same mass and radius? (d) Which of the above objects is moving fastest when it...
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