Two waves are simultaneously passing through a string and their equations are : y 1 = A 1 sin k ( x - v t ) , y 2 = A 2 sin k x - v t + x 0 . Given amplitudes A 1 = 12 mm and A 2 = 5 mm , x 0 = 3 . 5 cm and wave number k = 6 . 28 cm - 1 . T

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Two waves are simultaneously passing through a string and their equations are : y 1 = A 1 sin k ( x - v t ) , y 2 = A 2 sin k x - v t + x 0 . Given amplitudes A 1 = 12 mm and A 2 = 5 mm , x 0 = 3 . 5 cm and wave number k = 6 . 28 cm - 1 . The amplitude of resulting wave will be _____ mm .

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&#916; &#981; = kx 0 = 2 &#960; &#955; x 0 = 2 &#960; &#215; 3 . 5 &#160;&#160; &#955; = 2 &#960; k = 1 = 2 &#960; &#215; 35 10 = 7 &#960; A R = 12 2 + 5 2 + 2 &#215; 12 &#215; 5 &#215; cos ( 7 &#960; ) = ( 12 - 5 ) 2 = 7 &#160; mm

Two waves are simultaneously passing through a string and their equations are : y 1 = A 1 sin k ( x - v t ) , y 2 = A 2 sin k x - v t + x 0 . Given amplitudes A 1 = 12 mm and A 2 = 5 mm , x 0 = 3 . 5 cm and wave number k = 6 . 28 cm - 1 . The amplitude of resulting wave will be _____ mm .

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