Concept explainers
(a)
To Evaluate: The initial location of center of mass for spheres A and B attached to the ends of a rod of negligible mass (Fig. 5-23). The spheres are initially at rest on a frictionless, horizontal surface. A horizontal string is attached to B at point P and is under constant tension of
Fig. 5-23
(a)
Answer to Problem 35P
The initial location of center of mass of the two spheres is
Explanation of Solution
Given:
The mass of spheres A and B are given as
Formula used:
The x-coordinate of center of mass of spheres shown in the figure can be calculated by the following formula:
Where
Calculation:
The x-coordinate for the center of mass of spheres is calculated as follows:
Substituting
Position of center of mass of the two spheres is thus derived as
Conclusion:
Thus, the initial location of center of mass of the two spheres is calculated as
(b)
To Evaluate: The distance by which the center of mass will move in
Fig. 5-23
(b)
Answer to Problem 35P
The position of center of mass after
Explanation of Solution
Given:
The mass of spheres A and B are given as
Formula used: It is known that
F is the force, r is the distance between the point where the force is applied and the axis of rotation and
In this case the Cos component of
Calculation:
The net torque that acts on the system is calculated as follows:
Substituting
Substituting
This figure could be rounded off to
Thus, the center of mass gets shifted to
Conclusion:
Thus, the position of center of mass is shifted by
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Chapter 5 Solutions
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