The assembly shown in the figure below consists of a thin rod of length = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. d m J M Ⓡ (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 7.07 (b) What is the angular speed (in rad/s) of the rod and ball? 8.63 rad/s (c) What is the linear speed (in m/s) of the center of mass of the ball? 2.49 ✔ m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 28.9 cm? (Express your answer as a percentage of fall.) swing e is greater than ✓ ✓fall by 4.78 X What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vfall does v swing differ from Vall? %.
The assembly shown in the figure below consists of a thin rod of length = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. d m J M Ⓡ (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 7.07 (b) What is the angular speed (in rad/s) of the rod and ball? 8.63 rad/s (c) What is the linear speed (in m/s) of the center of mass of the ball? 2.49 ✔ m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 28.9 cm? (Express your answer as a percentage of fall.) swing e is greater than ✓ ✓fall by 4.78 X What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vfall does v swing differ from Vall? %.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![The assembly shown in the figure below consists of a thin rod of length{ 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached
to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise.
m
J
M
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?
7.07
(b) What is the angular speed (in rad/s) of the rod and ball?
8.63
rad/s
=
(c) What is the linear speed (in m/s) of the center of mass of the ball?
2.49
m/s
(d) How does it compare with the speed had the ball fallen freely through the same distance of 28.9 cm? (Express your answer as a percentage of v
✓fall.)
V
is greater than ↑
Vfall by 4.78
X
swing
What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of v
from v .? %.
fall
fall
does v
swing
differ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99fe8b96-1dd3-4796-baba-e63dfb2f238d%2Fa29345c1-dfa3-43ba-8a09-821061440912%2Fzn1gnfw_processed.png&w=3840&q=75)
Transcribed Image Text:The assembly shown in the figure below consists of a thin rod of length{ 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached
to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise.
m
J
M
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?
7.07
(b) What is the angular speed (in rad/s) of the rod and ball?
8.63
rad/s
=
(c) What is the linear speed (in m/s) of the center of mass of the ball?
2.49
m/s
(d) How does it compare with the speed had the ball fallen freely through the same distance of 28.9 cm? (Express your answer as a percentage of v
✓fall.)
V
is greater than ↑
Vfall by 4.78
X
swing
What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of v
from v .? %.
fall
fall
does v
swing
differ
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