The figure shows a snap photograph of a vibrating string at \( t=0 \). The particle \( P \) is o...

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The figure shows a snap photograph of a vibrating string at \( t=0 \). The particle \( P \) is observed moving up with velocity \( 20 \sqrt{3} \mathrm{~cm} / \mathrm{s} \). The tangent at \( P \) makes an angle \( 60^{\circ} \) with \( x \)-axis.
(a) Find the direction in which the wave is moving.
(b) Write the equation of the wave.
(c) The total energy carried by the wave per cycle of the string. Assuming that the mass per unit length of the string is \( 50 \mathrm{~g} / \mathrm{m} \)
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