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The figure shows a snap photograph of a ...

The figure shows a snap photograph of a vibrating string at `t = 0`. The particle `P` is observed moving up with velocity `20sqrt(3) cm//s`. The tangent at `P` makes an angle `60^(@)` with x-axis.

(a) Find the direction in which the wave is moving.
(b) Write the equation of the wave.
(c) The total energy carries by the wave per cycle of the string. Assuming that the mass per unit length of the string is `50g//m`.

Text Solution

Verified by Experts

The correct Answer is:
(a) negative x; (b) `Y= 4XX10^(-3) sin 100pi (3t +0.5x+1/(400)) (x,y " in meter")`;
(c ) `144 pi^2xx10^(-5)J`
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