A rod in horizontal position has two equal solid spheres of mass ms and radius R. attached to both ends The mass of the rod is m, and the length of the rod is La. The rod pivots about the left end of the rod where sphere A is attached. Sphere A is free to rotate with the rod at the same angular speed. The rod is released from rest and allowed to swing freely without friction or air resistance. Consider the use of the energy conservation principle. For purposes of finding the moment of inertia, consider the rod to be slender and the rod and sphere to be homogenous, Complete the following tasks: 1) Draw a kinematic diagram, showing the angular velocity the rod and the linear velocity of center of the angular velocity of the rod as it passes through a vertical position, as applicable. 2) Determine the angular velocity in terms of the masses of the rod and sphere, the radius of the sphere and the length of the rod.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A rod in horizontal position has two equal solid spheres of mass ms and radius R. attached to both ends
The mass of the rod is m, and the length of the rod is La. The rod pivots about the left end of the rod
where sphere A is attached. Sphere A is free to rotate with the rod at the same angular speed. The rod is
released from rest and allowed to swing freely without friction or air resistance.
Consider the use of the energy conservation principle. For purposes of finding the moment of inertia,
consider the rod to be slender and the rod and sphere to be homogenous.
Complete the following tasks:
1) Draw a kinematic diagram, showing the angular velocity the rod and the linear velocity of center of
the angular velocity of the rod as it passes through a vertical position, as applicable.
2) Determine the angular velocity in terms of the masses of the rod and sphere, the radius of the sphere
and the length of the rod.
B
Transcribed Image Text:A rod in horizontal position has two equal solid spheres of mass ms and radius R. attached to both ends The mass of the rod is m, and the length of the rod is La. The rod pivots about the left end of the rod where sphere A is attached. Sphere A is free to rotate with the rod at the same angular speed. The rod is released from rest and allowed to swing freely without friction or air resistance. Consider the use of the energy conservation principle. For purposes of finding the moment of inertia, consider the rod to be slender and the rod and sphere to be homogenous. Complete the following tasks: 1) Draw a kinematic diagram, showing the angular velocity the rod and the linear velocity of center of the angular velocity of the rod as it passes through a vertical position, as applicable. 2) Determine the angular velocity in terms of the masses of the rod and sphere, the radius of the sphere and the length of the rod. B
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