Problem 1A. Wave motion
Look at the snap shot of a sinusoidal transverse wave on a string taken at t=0 s. The wave continues indefinitely in both positive and negative x-directions. What are the wavelength and period of this wave? What is the vertical displacement of the string at x=18 m at t=5 seconds, D(x=18m, t=5s)? What is the velocity of the string at x=18 m at t=5 seconds, v(x=18m, t=5s)?
Problem 1B:
A sinusoidal wave with an amplitude of 1.00 cm and a frequency of 100 Hz travels at 200 m/s in the positive x-direction. At t=0, the point x=1.00 m is on a crest of the wave.
Draw a snapshot graph of the wave at t=0 s showing three full cycles. Clearly indicate the displacemnt at the origin and points where the waveform crosses the x-axis.
Problem 1C:
A sinusoidal wave with an amplitude of 1.00 cm and a frequency of 100 Hz travels at 200 m/s in the positive x-direction. At t=0, the point x=1.00 m is on a crest of the wave.
Draw a HISTORY graph of the wave taken at the point x=1.00 m. Show three full cycles. Clearly indicate the displacement at the origin and points where the waveform crosses the time axis.