A thin, cylindrical rod t = 20.4 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? 6.18 (b) What is the angular speed of the rod and ball? 9.15 v rad/s (c) What is the linear speed of the center of mass of the ball? 2.32 v m/s (d) How does compare with the speed had the ball fallen freely through the same distance of 25.4 cm? Vswing is ---Select--- val by 3.88 Your response differs from the correct answer by more than 10%. Double check your calculations.%.

University Physics Volume 1
18th Edition
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 89AP: A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis...
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A thin, cylindrical rod {
= 20.4 cm long with a mass m =
1.20 kg has a ball of diameter d = 10.00 cm and mass M
= 2.00 kg attached to one end. The arrangement is originally vertical and stationary,
with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge.
M
(a) After the combination rotates through 90 degrees, what is its rotational kinetic energy?
6.18
(b) What is the angular speed of the rod and ball?
9.15
rad/s
(c) What is the linear speed of the center of mass of the ball?
2.32
m/s
(d) How does it compare with the speed had the ball fallen freely through the same distance of 25.4 cm?
is
V swing
---Select---
O Vfall by 3.88
Your response differs from the correct answer by more than 10%. Double check your calculations.%.
Transcribed Image Text:A thin, cylindrical rod { = 20.4 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? 6.18 (b) What is the angular speed of the rod and ball? 9.15 rad/s (c) What is the linear speed of the center of mass of the ball? 2.32 m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 25.4 cm? is V swing ---Select--- O Vfall by 3.88 Your response differs from the correct answer by more than 10%. Double check your calculations.%.
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