1) A sinusoidal transverse wave is traveling along a string in the negative direction of the 2-axis.
The figure below shows a plot of the displacement as a function of position at time t = 0; the scale of the
y-axis is set by % = 4.0 cm. The wave speed along the string is v = 12 m/s.
Find the:
(a) Amplitude A,
(b) Wavelength A,
(c) Period T,
(d) The maximum speed of a string particle,
(e) Wavenumber k
(f) Angular frequency w,
(g) Phase constant do,
(h) The correct choice of sign for the wave direction.
2) A ID potential energy with a stable equilibrium point may be, as long as the displacement
from the equilibrium is very small, approximated as the same form as that of a potential energy of a simple
harmonic oscillator, i.e. the same potential energy as that of a spring-mass. How so? Hint: Consider a
general, infinitely differentiable U(2), and what its form is very close to the equilibrium point teq.

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