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Chapter 1: Q2DQ (page 459)

Think of several examples in everyday life of motions that are, at least approximately, simple harmonic. In what respects does each differ from SHM?

Short Answer

Expert verified

A pendulum performs a simple harmonic motion, but only if the displacement is near zero.

For non-zero displacement, the period increases as displacement increases.

Step by step solution

01

Definitionof SHM

A simple harmonic motion is characterized by a trajectory that can be described by the trigonometric functions, sine, and cosine. There are a lot of motions that can be described by simple harmonic motion, such as the motion of a swinging simple pendulum.

02

Examples of SHM in life

Examples of SHM:

1)Simplependulum: which is a mass attached in a rope and the other end of the ropeis hooked in the ceiling and you hit it to the right, then it will move back and forth until it stops after a long time. It is a damped simple harmonic motion since the mass finally stops after a long time.

2)A hangingtoyfromthefrontmirrorofthecar: which is moving back and forth while the car speeding up and slowing down.

3)Kidsswing: which has the same idea of the simple pendulum and also it is a damped simple harmonic motion.

4)Thependulumofapendulumclock: which is moving back and forth and we can say that it is NOT a damped SHM (since you change the battery continuously).

5) Guitarstring: which is also a damped simple harmonic since it stops after moving up and down for a while when you hit it and then stops slowly.

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