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You notice your classmate is oscillating the free end of a taut rope in a simple...

You notice your classmate is oscillating the free end of a taut rope in a simple harmonic vertical oscillation with a frequency of 3.333 Hz and amplitude 5.5 cm. At time t = 0 the end has maximum negative displacement. If the wave speed is 11.1 m/s. a) Write a wave function describing this wave and identify the amplitude, period, wavelength, an phase constant of this wave. b) At t = 0 what is the vertical displacement of the rope at a point 42 cm from the free end of the rope being oscillated by your classmate? c) Draw a graph of vertical position versus position along the rope for this wave, plotting at least three wavelengths. d) Draw a graph of position versus time for this graph, plotting at least three periods for the 42 cm position along the rope.

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