BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

If the amplitude of a system moving in simple harmonic motion is doubled, which of the following quantities doesn’t change? (a) total energy (b) maximum speed (c) maximum acceleration (d) period

To determine
To determine which of the quantity does not change when the amplitude is doubled.

Explanation

Given info: The amplitude of the simple harmonic motion is doubled.

Explanation:

Amplitude ±A of a simple harmonic motion is the maximum displacement of the object from the equilibrium position.

The period for an object in simple harmonic motion is given by:

T=2πmk

Here,

T is the time period

m is the mass of the object

k is the force constant

The period of the simple harmonic motion is independent of the amplitude. Hence when the amplitude of the simple harmonic motion is doubled, there is no change in the period of the motion.

Conclusion:

The period of the motion T being independent of the amplitude of motion, does not change when the amplitude of the motion is doubled.

When the system under simple harmonic motion is in its turning positions, the total energy can be described in terms of the amplitude, A

E=12kA2

Here,

E is the total energy

k is the force constant

A is the amplitude of the simple harmonic motion

The total energy of the system in simple harmonic motion, directly proportional to the square of the amplitude. Hence when the amplitude is doubled, the total energy will become four time of the previous total energy. So option (a) is wrong.

When the system is in the turning points, the total energy is stored in the form of elastic potential energy

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

When blood glucose concentration rises, the pancreas secretes, and when blood glucose levels fall, the pancreas...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

A uniform, thin, solid door has height 2.20 m, width 0.870 m, and mass 23.0 kg. (a) Find its moment of inertia ...

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

Which ocean basin has the greatest potential fetch?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin