Concept explainers
(a)
The position, velocity, and acceleration of simple harmonic oscillator at time
(a)
Answer to Problem 4PQ
The position, velocity, and acceleration of simple harmonic oscillator at time
Explanation of Solution
Write the equation to find the position of simple harmonic oscillator.
Here,
Differentiate the above expression with respect to
Here,
Differentiate the above expression with respect to
Conclusion:
Substitute
Substitute
Substitute
Therefore, The position, velocity, and acceleration of simple harmonic oscillator at time
(b)
The position, velocity, and acceleration of simple harmonic oscillator at time
(b)
Answer to Problem 4PQ
The position, velocity, and acceleration of simple harmonic oscillator at time
Explanation of Solution
Substitute
Substitute
Substitute
Conclusion:
Therefore, the position, velocity, and acceleration of simple harmonic oscillator at time
(c)
The position, velocity, and acceleration of simple harmonic oscillator at time
(c)
Answer to Problem 4PQ
The position, velocity, and acceleration of simple harmonic oscillator at time
Explanation of Solution
Substitute
Substitute
Substitute
Conclusion:
Therefore, the position, velocity, and acceleration of simple harmonic oscillator at time
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Chapter 16 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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