A ball of mass M = 1.30 kg and radius r = 4.50 cm is attached to one end of a thin, cylindrical rod of length L 14.0 cm and mass m = 0.880 kg. The ball and rod, initially at rest in a vertical position and free to rotate around the axis shown in the figure below, are nudged into motion. m M (a) What is the rotational kinetic energy of the system when the ball and rod reach a horizontal position? J (b) What is the angular speed of the ball and rod when they reach a horizontal position? rad/s V(c) Vfreefall (c) What is the linear speed of the center of mass of the ball when the ball and rod reach a horizontal position? m/s (d) What is the ratio of the speed found in part (c) to the speed of a ball that falls freely through the same distance?
A ball of mass M = 1.30 kg and radius r = 4.50 cm is attached to one end of a thin, cylindrical rod of length L 14.0 cm and mass m = 0.880 kg. The ball and rod, initially at rest in a vertical position and free to rotate around the axis shown in the figure below, are nudged into motion. m M (a) What is the rotational kinetic energy of the system when the ball and rod reach a horizontal position? J (b) What is the angular speed of the ball and rod when they reach a horizontal position? rad/s V(c) Vfreefall (c) What is the linear speed of the center of mass of the ball when the ball and rod reach a horizontal position? m/s (d) What is the ratio of the speed found in part (c) to the speed of a ball that falls freely through the same distance?
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Transcribed Image Text:A ball of mass M = 1.30 kg and radius r = 4.50 cm is attached to one end of a thin, cylindrical rod of
length L = 14.0 cm and mass m = 0.880 kg. The ball and rod, initially at rest in a vertical position and
free to rotate around the axis shown in the figure below, are nudged into motion.
L
m
M
(a) What is the rotational kinetic energy of the system when the ball and rod reach a horizontal
position?
J
(b) What is the angular speed of the ball and rod when they reach a horizontal position?
rad/s
V(c)
Vfreefall
(c) What is the linear speed of the center of mass of the ball when the ball and rod reach a
horizontal position?
m/s
(d) What is the ratio of the speed found in part (c) to the speed of a ball that falls freely through
the same distance?
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