Question: Please answer in detail with every step. 513 A string of length 31 and negligible mass is attached to two xed Supports at its ends.

Please answer in detail with every step.

513 A string of length 31 and negligible mass is attached to two xed Supports at its ends. The tension in the string is T. (a) A particle of mass m is attached at a distance! from one end of the string, as shown. Set up the equation for small transverse oscilla- tions of m, and nd the period. (b) An additiOnal particle of mass m is connected to the string as shown, dividing it into three equal segments each with tension T. Sketch the appearance of the string and masses in the two separate normal modes of transverse oscillations. (c) Calculate a: for that normal mode which has the higher frequency

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