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A steel string of length 2.0 meters and mass 15g/m is stretched with a tension of...

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Mechanical Engineering

A steel string of length 2.0 meters and mass 15g/m is stretchedwith a tension of 120 N and is fixed at both ends.

(i)   Write down the wave equation and find thegeneral solution for string oscillations using the method ofvariable separation.

(ii)   Find the 1st three naturalfrequencies and draw the corresponding mode shapes.

Answer & Explanation Solved by verified expert
3.7 Ratings (586 Votes)
The wave equation iswhere is the speed of the wave in the mediumTo solve it by the method of separation of variables we assumethatLet the length of the    See Answer
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