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College Physics (Urone)
Found in: Page 588
College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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Short Answer

What conditions must be met to produce simple harmonic motion?

(a) The net force must obey Hooke’s law.

(b) There must not be any Damping force acting on the system.

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Definition of Hooke’s Law

Hooke’s Law states that the force required to stretch or compress an elastic object is directly proportional to the change in length or displacement of the object.

Step 2: Relation of Hooke’s law with simple harmonic motion 

A body executes simple harmonic motion when it oscillates back and forth about it is in equilibrium. If the net force is described by Hooke’s law, then the body will oscillate with equal displacement on either side of the equilibrium position because the force always gets directed towards the center.

Thus, the net force must obey Hooke’s law

Step 3: Relation of Damping with simple harmonic motion

If there is damping (by friction or any other external phenomenon), the oscillation on either side will keep on reducing and a time will come when the oscillation will stop. Hence, there should be no damping to produce simple harmonic motion.

Thus, there must not be any Damping force acting on the system.

Most popular questions for Physics Textbooks

How would a car bounce after a bump under each of these conditions?

• Over damping

• Under damping

• Critical damping

(a) What is the intensity in W/m2 of a laser beam used to burn away cancerous tissue that, when 90.0% absorbed, puts 500 J of energy into a circular spot 2.00 mm in diameter in 4.00 s?

(b) Discuss how this intensity compares to the average intensity of sunlight (about 700 W/m2) and the implications that would have if the laser beam entered your eye. Note how your answer depends on the time duration of the exposure.

(a) If the frequency is not constant for some oscillation, can the oscillation be simple harmonic motion?

(b) Can you think of any examples of harmonic motion where the frequency may depend on the amplitude?

Most harmonic oscillators are damped and, if undriven, eventually come to a stop. How is this observation related to the second law of thermodynamics?


Explain why you expect an object made of a stiff material to vibrate at a higher frequency than a similar object made of a spongy material.
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