Simple Harmonic Motion Concepts

The video tutorial introduces simple harmonic motion using pendulum and spring examples. It explains how this motion is modeled using sine and cosine curves, with time on the x-axis and displacement on the y-axis. The tutorial covers deriving velocity and acceleration functions and analyzing motion through displacement-time graphs. It includes solving example problems and advanced problem-solving techniques, emphasizing the importance of understanding phase shifts, amplitude, and period in simple harmonic motion.

What is an example of simple harmonic motion?

• A pendulum swinging

• A car driving on a highway

• A person walking

• A bird flying

Which curve is used to model simple harmonic motion?

• Linear curve

• Exponential curve

• Sine or cosine curve

• Quadratic curve

In simple harmonic motion, what does the 'a' in the equation represent?

• Period

• Phase shift

• Frequency

• Amplitude

What is the period of a simple harmonic motion with Omega equal to 2?

• Pi

• 2 Pi

• 2 Pi/2

• Pi/2

What is the relationship between velocity and displacement in simple harmonic motion?

• Velocity is constant

• Velocity is directly proportional to displacement

• Velocity squared is related to Omega squared times (a squared minus x squared)

• Velocity is inversely proportional to displacement

How do you find the velocity function from a displacement function?

• Integrate the displacement function

• Divide the displacement function by time

• Find the derivative of the displacement function

• Multiply the displacement function by time

What is the maximum speed of a particle if the amplitude is 8 Pi/3?

• 2 Pi/3

• 8 Pi/3

• 16 Pi/3

• 4 Pi/3

In the second example, what is the value of Omega if the acceleration is -9x?

• 1

• 2

• 4

• 3

What is the period of motion if Omega is 3?

• 2 Pi/3

• Pi/3

• Pi

• 2 Pi

How is the amplitude determined from the velocity relation?

• By solving the velocity relation for a

• By differentiating the velocity relation

• By integrating the velocity relation

• By multiplying the velocity relation by time