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Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

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Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 15, Problem 15.26P
Textbook Problem
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The amplitude of a system moving in simple harmonic motion is doubled. Determine the change in (a) the total energy, (b) the maximum speed, (c) the maximum acceleration, and (d) the period.

(a)

To determine

The change in the total energy of a system moving in simple harmonic motion when its amplitude is doubled.

Explanation of Solution

The formula to calculate total energy in a single harmonic motion is,

    E=12kA2

Here, A is the amplitude and k is the force constant of the spring

The amplitude is doubled then,

    A=2A

Substitute 2A for A in above equation to find E

(b)

To determine

The change in the maximum speed of a system moving in simple harmonic motion when its amplitude is doubled.

(c)

To determine

The change in the maximum acceleration of a system moving in simple harmonic motion when its amplitude is doubled.

(d)

To determine

The change in the time period of a system moving in simple harmonic motion when its amplitude is doubled.

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Chapter 15 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)
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