
Concept explainers
(a)
The distance travelled by the particle during the time
(a)

Explanation of Solution
Given:
The time period of the particle is
The amplitude of the oscillation of the particle is
Formula used:
The position of the particle is given as:
Here,
Write the expression for the angular frequency of oscillation.
Substitute
Write the expression for the initial position of the particle with amplitude and phase constant.
Simplify the above equation we get.
Substitute
Substitute
Now the distance particle travels in initial time
Calculation:
Substitute
Conclusion:
The distance the particle travels at
(b)
The distance travelled by the particle at time
(b)

Explanation of Solution
Given:
The time period of the particle is
The amplitude of the oscillation of the particle is
Formula used:
The position of the particle is given as:
Here,
Calculation:
Substitute
Conclusion:
The position of the particle is
(c)
The distance travelled by the particle
(c)

Explanation of Solution
Given:
The time period of the particle is
The amplitude of the oscillation of the particle is
Formula used:
The position of the particle is given as:
Calculation:
Substitute
Conclusion:
The position of the particle is
(d)
The distance travelled by the particle
(d)

Explanation of Solution
Given:
The time period of the particle is
The amplitude of the oscillation of the particle is
Formula used:
The position of the particle is given as:
Calculation:
Substitute
Conclusion:
The position of the particle is
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Chapter 14 Solutions
Physics for Scientists and Engineers
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