(a)
The position of center of mass at
(a)
Answer to Problem 67PQ
The position of center of mass at
Explanation of Solution
Write the expression for velocity of center of mass.
Here,
Conclusion:
Substitute,
Substitute,
Therefore, the position of center of mass at
(b)
The velocity of the centre of mass.
(b)
Answer to Problem 67PQ
The velocity of the centre of mass is
Explanation of Solution
Velocity is the time derivative of position.
Here,
Substitute equation (II) in equation (III).
Conclusion:
Substitute,
Therefore, velocity of the centre of mass is
(c)
The total linear momentum of the system.
(c)
Answer to Problem 67PQ
The total linear momentum of the system is
Explanation of Solution
Write the expression for momentum.
Conclusion:
Substitute,
Therefore, the total linear momentum of the system is
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Chapter 10 Solutions
Physics for Scientist and Engineers (Foundations And Connection; Volume I and II) LLF edition
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