Refer to the wave in the string described in Exercise 37 of Section 10.3. For a point on the string, the displacement y is given by 

We see that each point on the string moves with simple harmonic motion. Sketch two cycles of y as a function of t for the given values

A = 3.20 mm, T = 0.050 s, λ = 40.0 mm, x = 5.00 mm

Data from Exercise 37 of Section 10.3.

A wave traveling in a string may be represented by the equation

Here, A is the amplitude, t is the time the wave has traveled, x is the distance from the origin, T is the time required for the wave to travel one wavelength λ (the Greek letter lambda). Sketch three cycles of the wave for which A = 2.00 cm, T = 0.100 s, λ = 20.0 cm, and x = 5.00 cm.

sin 27 (1) . y = A sin 2