Along a stretched string

PHYSICS · Multi-part · A Level · Physics · Waves · Waves

Problem

Along a stretched string, a wave of amplitude 2 mm2\,\text{mm} and frequency 50 Hz50\,\text{Hz} travels in the +xx direction. At t=0t=0, the particle at x=0x=0 is at its maximum positive displacement, while the particle at x=0.30 mx=0.30\,\text{m} is simultaneously at its maximum negative displacement. (a) Determine the wavelength of the wave. (b) Hence write the complete displacement equation y(x,t)y(x,t) in the sine form.

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