a.
To find: the definition of the simple harmonic motion.
a.
Explanation of Solution
Given Information:
The given term is simple harmonic motion.
Simple harmonic motion: it is a periodic motion where the restoring force acting on the object under consideration is directly proportional to, and opposite of, the object’s displacement from the equilibrium position. In the both side of the equilibrium position, the maximum displacement of the object is equal.
b.
To find: the definition of the damped harmonic motion.
b.
Explanation of Solution
Given Information:
The given term is damped harmonic motion.
Damped harmonic motion: when a damper is used in the oscillator, it opposes the motion of the oscillator. Thus, the amplitude of the simple harmonic motion starts decreasing over timedue to an external force acting by damper. After some time, system come to the rest and amplitude become zero. This motion is called damped simple harmonic motion.
c.
To find: the examples of simple and damped harmonic motion.
c.
Explanation of Solution
Given Information:
The given termsare simple and damped harmonic motion.
Following are the real-life example of the simple harmonic motion:
- The vibration of the guitar string
- The motion of a pendulum
- A swing
Following are the real-life example of the damped simple harmonic motion:
- Shock absorbers
- Door closer
- A yo-yo
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning