The device shown in the figure below consists of a thin rod of length e = 23.7 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 device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate clockwise. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 7.02 (b) What is the angular speed (in rad/s) of the rod and sphere? 8.61 rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? 2.47 m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.7 cm? (Express your answer as a percentage.) is greater than v Vall by 4.22 Vswing %.
The device shown in the figure below consists of a thin rod of length e = 23.7 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 device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate clockwise. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? 7.02 (b) What is the angular speed (in rad/s) of the rod and sphere? 8.61 rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? 2.47 m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.7 cm? (Express your answer as a percentage.) is greater than v Vall by 4.22 Vswing %.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 18P: Rigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The...
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