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23 Nov 2019
A thin, cylindrical rod l = 27.2 cm long with a mass m = 1.20 kghas a ball of diameter d = 10.00 cm and mass M = 2.00 kg attachedto one end. The arrangement is originally vertical and stationary,with the ball at the top as shown in the figure below. Thecombination is free to pivot about the bottom end of the rod afterbeing given a slight nudge.
(a) After the combination rotates through 90 degrees, what isits rotational kinetic energy?
(b) What is the angular speed of the rod and ball?
(c) What is the linear speed of the center of mass of theball?
m/s
(d) How does it compare with the speed had the ball fallen freelythrough the same distance of 32.2 cm?
A thin, cylindrical rod l = 27.2 cm long with a mass m = 1.20 kghas a ball of diameter d = 10.00 cm and mass M = 2.00 kg attachedto one end. The arrangement is originally vertical and stationary,with the ball at the top as shown in the figure below. Thecombination is free to pivot about the bottom end of the rod afterbeing given a slight nudge.
(a) After the combination rotates through 90 degrees, what isits rotational kinetic energy?
(b) What is the angular speed of the rod and ball?
(c) What is the linear speed of the center of mass of theball?
m/s
(d) How does it compare with the speed had the ball fallen freelythrough the same distance of 32.2 cm?
