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. d M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? (b) What is the angular speed (in rad/s) of the rod and sphere? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? 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 ♥ Vfall by %.

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The assembly shown in the figure below consists of a thin rod of length { = 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
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)?
(b) What is the angular speed (in rad/s) of the rod and sphere?
rad/s
(c) What is the linear speed (in m/s) of the center of mass of the sphere?
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
%.
Transcribed Image Text:The assembly shown in the figure below consists of a thin rod of length { = 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 (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? (b) What is the angular speed (in rad/s) of the rod and sphere? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? 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 %.
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