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Problem: Two waves in one string are described by the wave functions:y1 = (3.0cm) cos(4.0x-1.6t)y2 = (4.0cm) sin(5.0x-2.0t)where y and x are in centimeters and t is inseconds. Find the superposition of the waves y1+y2 at the points (a) x=1.00, t=1.00; (b) x=1.00, t=.500; and (c) x= 0.500, t=0.

FREE Expert Solution

At superimposition:

y1 + y2 = (3.0cm)cos(4.0x-1.6t) + (4.0cm)sin(5.0x-2.0t)

(a) At x = 1.00 and t = 1.00

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Problem Details

Two waves in one string are described by the wave functions:

y1 = (3.0cm) cos(4.0x-1.6t)

y2 = (4.0cm) sin(5.0x-2.0t)

where y and x are in centimeters and t is inseconds. Find the superposition of the waves y1+y2 at the points (a) x=1.00, t=1.00; (b) x=1.00, t=.500; and (c) x= 0.500, t=0.

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Based on our data, we think this problem is relevant for Professor Morin, Yacoby, Witkov & Zengel's class at HARVARD.