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.

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

Section: Chapter Questions

Problem 1.1MA

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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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