Concept explainers
(a)
To Evaluate: The position of center of mass at
(a)
Answer to Problem 34P
The position of center of mass of particles is
Explanation of Solution
Given:
The time
Formula used:
The x-coordinate of center of mass of particles shown in the figure can be calculated by the following formula:
Where
Similarly the y-coordinates can also be calculated:
Where
Calculation:
When
Substituting
Conclusion:
At
(b)
To Evaluate: The resultant force acting on the system, wherein the location of two particles, which are initially at rest, is shown in Fig. 5-22, and each particle is subject to a constant force, as indicated.
(b)
Answer to Problem 34P
System’s resultant force is calculated as
Explanation of Solution
Given:
The magnitude of the force acting on
The magnitude of force acting on
Formula used:
Formula for the resultant force
Where
Calculation:
The resultant force is being calculated as:
Conclusion:
Thus, the system’s resultant force
(c)
To Evaluate: The location of center of mass at
(c)
Answer to Problem 34P
At
Explanation of Solution
Given:
The magnitude of the force acting on
The magnitude of force acting on
Formula used: It is known that
Where
The x-coordinate of center of mass of particles shown in the figure can be calculated by the following formula:
Where
Similarly the y-coordinates can also be calculated:
Where
Calculation:
As a constant force is acting on each particle, the acceleration of particle
Substituting
Position of particle
When the particle is at rest the velocity
Substituting
Similarly the acceleration of
Substituting
And position of
Substituting values of
At
Substituting
Similarly the y-coordinate of center of system’s mass is calculated at
Substituting
The
Conclusion:
Thus, the location of center of mass at
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Chapter 5 Solutions
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