A thin rod with mass M-1.2 kg and a length L-0.24 m has a small ball of mass m-2 kg attached to one end. The arrangement is originally vertical and stationary with the ball at the top as shown in the diagram. The combination is free to move about a pivot at the bottom end. (a) Find the moment of inertia of the rod/ball combination about the pivoted end. (b) Find the center of mass of the rod/ball combination (c) If the combination starts to fall from rest, find its KE when the rod is horizontal. (d) Find the angular speed when the rod is horizontal. (e) Find the speed of the center of the ball when the rod is horizontal. m=2 kg Pivot M=1.2 kg L=0.24 m

A thin rod with mass M-1.2 kg and a length L-0.24 m has a small ball of mass m-2 kg attached to one end. The arrangement is originally vertical and stationary with the ball at the top as shown in the diagram. The combination is free to move about a pivot at the bottom end. (a) Find the moment of inertia of the rod/ball combination about the pivoted end. (b) Find the center of mass of the rod/ball combination (c) If the combination starts to fall from rest, find its KE when the rod is horizontal. (d) Find the angular speed when the rod is horizontal. (e) Find the speed of the center of the ball when the rod is horizontal. m=2 kg Pivot M=1.2 kg L=0.24 m

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 93A

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