The assembly shown in the figure below consists of a thin rod of length e = 23.2 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 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)? 6.89 (b) What is the angular speed (in rad/s) of the rod and sphere? 8.75 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 28.2 cm? (Express your answer as a percentage.) Vswing is greater than v Vfall by 5.0661 What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vall does vewing differ from vall? %.

The assembly shown in the figure below consists of a thin rod of length e = 23.2 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 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)? 6.89 (b) What is the angular speed (in rad/s) of the rod and sphere? 8.75 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 28.2 cm? (Express your answer as a percentage.) Vswing is greater than v Vfall by 5.0661 What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of Vall does vewing differ from vall? %.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Dynamics

Section: Chapter Questions

Problem 47P: The uniform thin rod in Figure P8.47 has mass M = 3.50 kg and length L = 1.00 m and is free to...

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