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A. The curve A1. A pulse
with this shape is started on a long stretched spring; that is,
at time
What is
the function, |

A2. A demonstrator holds a long stretched spring at one end and generates a pulse moving down the string by moving his hand up and back to its starting point quickly. The speed of pulses moving on the spring is 250 cm/s and he moves his hand up and down in 0.5 s. Is it possible to predict the width of the pulse that moves along the spring? If so, find it. If not, explain why not.

B. The curve *y*(*x,t*) = *A* sin(*kx
- ωt*) describes a sinusoidal wave shape
moving on a (different) long spring. The parameters have the following values:
*A* = 0.5 cm, *k* = 0.125 cm^{-1}, and *ω* = 25 s^{-1}.

B1. Is the wave shape described by this function moving to the left (in the direction of the negative x axis) or to the right (in the direction of the positive x axis)?

B2. How fast is the shape traveling down the spring?

Page last modified February 25, 2010: O47