The assembly shown in the figure below consists of a thin rod of length e = 23.2 cm and mass m = 1.20 kg with a solid sphere 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. (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 6.89 (b) What is the angular speed (in rad/s) of the rod and sphere? 8.75 rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? 2.47 m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.2 cm? (Express your answer as a percentage.) Vswing is greater than v Vfall by 5.0661 What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vall does vewing differ from vall? %.

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The assembly shown in the figure below consists of a thin rod of length l = 23.2 cm and mass m = 1.20 kg with a solid sphere 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
m
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?
6.89
(b) What is the angular speed (in rad/s) of the rod and sphere?
8.75
rad/s
(c) What is the linear speed (in m/s) of the center of mass of the sphere?
2.47
m/s
(d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.2 cm? (Express your answer as a percentage.)
is greater than v
V swing
Vfall by 5.0661
does v
V fall
differ from vfall? %.
swing
What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of
Transcribed Image Text:The assembly shown in the figure below consists of a thin rod of length l = 23.2 cm and mass m = 1.20 kg with a solid sphere 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 m (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 6.89 (b) What is the angular speed (in rad/s) of the rod and sphere? 8.75 rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? 2.47 m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.2 cm? (Express your answer as a percentage.) is greater than v V swing Vfall by 5.0661 does v V fall differ from vfall? %. swing What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of
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