Simple Harmonic Motion Concepts

The video tutorial explains simple harmonic motion using a spring. It covers the motion of an object attached to a spring, its oscillation, and how to model this motion using a cosine function. The tutorial includes graphing the function, deriving the equation, and calculating the position at a specific time. It also explains how to determine the frequency of the oscillation.

What is the initial displacement of the object from its equilibrium position?

• 10 centimeters

• 15 centimeters

• 20 centimeters

• 25 centimeters

How long does it take for one complete oscillation of the spring?

• 2 seconds

• 3 seconds

• 4 seconds

• 5 seconds

Which trigonometric function is used to model the simple harmonic motion in this example?

• Secant function

• Cosine function

• Tangent function

• Sine function

What is the amplitude of the cosine function used in the model?

• 10

• 15

• 20

• 25

What is the value of 'A' in the equation D(t) = A cos(Bt)?

• 20

• -10

• -20

• 10

At what time is the position of the object approximately 6.18 centimeters above the midline?

• 3.5 seconds

• 2.0 seconds

• 1.2 seconds

• 0.8 seconds

What is the period of the function used to model the motion?

• 3 seconds

• 2 seconds

• 4 seconds

• 5 seconds

What is the frequency of the oscillation?

• 1/3 oscillation per second

• 1/5 oscillation per second

• 1/4 oscillation per second

• 1/2 oscillation per second

What is the reciprocal of the period of the oscillation?

• 1/5

• 1/4

• 1/3

• 1/2

What is the significance of the midline in the context of this simple harmonic motion?

• It represents the average speed.

• It represents the maximum displacement.

• It represents the equilibrium position.

• It represents the minimum displacement.