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Chapter 2: Problem 75

Explain in detail about periodic motion and non-periodic motion.

Short Answer

Expert verified
Provide examples of each. Answer: The key differences between periodic and non-periodic motion lie in their patterns and periods. Periodic motion is characterized by a repetitive pattern with a constant period, covering equal distances in equal intervals of time. Examples include the rotation of the Earth around its axis and the oscillation of a pendulum. On the other hand, non-periodic motion does not follow a repetitive pattern and does not cover equal distances in equal intervals of time. Examples include a person walking around in an irregular manner and a car driving down a winding road.

Step by step solution

01

Introduction to Motion

Motion refers to any change in position of an object with respect to its surroundings. There are two main categories of motion: Periodic motion and Non-periodic motion. Each category has its own characteristics, which we will analyze and explain in detail below.
02

Periodic Motion

Periodic motion is a type of motion that repeats itself in a cycle, covering equal distances in equal intervals of time. These intervals of time are known as periods, and the motions that follow this pattern are referred to as periodic motions.
03

Examples of Periodic Motion

Some examples of periodic motion are: 1. The rotation of the Earth around its own axis: The Earth takes approximately 24 hours to complete one rotation, so this motion repeats itself every 24 hours. 2. Oscillation of a pendulum: A pendulum swinging back and forth covers equal distances in equal intervals of time.
04

Characteristics of Periodic Motion

The main characteristic of periodic motion is the constant period, which is the time it takes for the motion to repeat. This period is often denoted as 'T'. Other characteristics include frequency (f), which is the reciprocal of the period (f = 1/T), and the amplitude, which is the maximum displacement from the equilibrium position.
05

Non-periodic Motion

Non-periodic motion, also known as aperiodic motion, refers to motion that does not follow a repetitive pattern. In other words, non-periodic motion does not cover equal distances in equal intervals of time.
06

Examples of Non-periodic Motion

Some examples of non-periodic motion are: 1. A person walking around in an irregular manner. 2. A car driving down a winding road.
07

Characteristics of Non-periodic Motion

The main characteristic of non-periodic motion is that there isn't a constant period, and the motion does not follow a repetitive pattern. Non-periodic motion can be random or chaotic, depending on the forces acting on the object in motion. In conclusion, periodic motion is characterized by repetitive patterns with a constant period, while non-periodic motion does not have a repetitive pattern and does not cover equal distances in equal intervals of time.

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