Simple Harmonic Motion Concepts

This video tutorial introduces simple harmonic motion, explaining its characteristics and how it can be modeled using sine and cosine functions. The video covers key concepts such as displacement, amplitude, period, and frequency, and provides practical examples to illustrate these ideas. It also guides viewers on building and analyzing displacement functions, emphasizing the differences between starting at rest and away from rest. The tutorial concludes with a summary of the key points discussed.

What is the primary characteristic of simple harmonic motion?

• It decreases over time.

• It stops after a while.

• It remains constant over time.

• It increases over time.

Which functions are used to model simple harmonic motion?

• Quadratic functions

• Linear functions

• Sinusoidal functions

• Exponential functions

What does the amplitude represent in simple harmonic motion?

• The time taken for one oscillation

• The maximum displacement from rest

• The frequency of oscillations

• The starting position

When should you use the cosine function in modeling simple harmonic motion?

• When the motion is damped

• When starting away from rest

• When the motion is linear

• When starting from rest

In the example problem, what was the initial displacement when using the cosine function?

• Negative seven

• Positive seven

• Four

• Zero

What is the initial motion of a positive sine function?

• Stationary

• Downward

• Upward

• Circular

How is the frequency of simple harmonic motion calculated?

• As the reciprocal of the period

• As the reciprocal of the amplitude

• As the product of amplitude and period

• As the sum of amplitude and period

What is the effect of a vertical shift in a displacement function?

• It changes the resting position

• It changes the amplitude

• It changes the period

• It changes the frequency