The assembly shown in the figure below consists of a thin rod of length l = 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 shown in the figure below consists of a thin rod of length l = 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.
(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 ball? rad/s
(c) What is the linear speed (in m/s) of the center of mass of the ball? 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.)
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The assembly shown in the figure below consists of a thin rod of length l = 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.
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