Simple Harmonic Motion Concepts

The video tutorial covers simple harmonic motion, explaining key formulas for cosine and sine functions. It guides on choosing the correct formula based on displacement conditions and demonstrates solving problems to find amplitude, period, and frequency. The tutorial includes multiple examples, emphasizing the relationship between period and frequency, and concludes with a summary of key concepts.

What is the formula for displacement in simple harmonic motion using the cosine function?

• Y = a cos(2πft)

• Y = a sin(2πft)

• Y = a cot(2πft)

• Y = a tan(2πft)

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

• Amplitude

• Frequency

• Displacement

• Period

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

• When period is unknown

• When frequency is unknown

• When displacement is maximum at t=0

• When displacement is zero at t=0

What is the amplitude of the function Y = 2/3 cos(2π/3 T)?

• 1

• 3/2

• 1/3

• 2/3

How do you find the frequency from the period in simple harmonic motion?

• Multiply the period by 2π

• Divide 1 by the period

• Subtract 2π from the period

• Add 2π to the period

What is the period of the function Y = 2 sin(2π/6 T)?

• 6

• 2π

• 1/6

• π

If the frequency is 0.8 cycles per second, what is the period?

• 1.25 seconds

• 1 second

• 0.8 seconds

• 2 seconds

What is the correct equation for a simple harmonic motion with amplitude 4 and period π/2 using sine?

• Y = 4 cos(2T)

• Y = 4 cos(4T)

• Y = 4 sin(4T)

• Y = 4 sin(2T)