The object shown in the figure below consists of a thin rod of length - 22.1 cm and mass m - 1.20 kg with a solid ball of diameter d= 10.0 cm and mass M = 2.00 kg attached to its top. The object is free to pivot about a frictionless axle through the bottom of the rod. The object 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 1)? 6.6 (b) What is the angular speed (in rad/s) of the rod and ball? 8.85 v rad/s (c) What is the linear speed (in m/s) of the center of mass of the ball? 2.4 v m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 27.1 cm? (Express your answer as a percentage.) Vswing is greater than v V by 43 What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of vfall does vswing differ from vfall? %.
The object shown in the figure below consists of a thin rod of length - 22.1 cm and mass m - 1.20 kg with a solid ball of diameter d= 10.0 cm and mass M = 2.00 kg attached to its top. The object is free to pivot about a frictionless axle through the bottom of the rod. The object 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 1)? 6.6 (b) What is the angular speed (in rad/s) of the rod and ball? 8.85 v rad/s (c) What is the linear speed (in m/s) of the center of mass of the ball? 2.4 v m/s (d) How does it compare with the speed had the ball fallen freely through the same distance of 27.1 cm? (Express your answer as a percentage.) Vswing is greater than v V by 43 What constant acceleration kinematics formula relates the final speed of a falling object to the acceleration and distance fallen? By what percentage of vfall does vswing differ from vfall? %.
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 56P: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56)....
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