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? %.

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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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
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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