A light elastic string has one end attached to a ceiling. The other end is attached to

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A light elastic string has one end attached to a ceiling. The other end is attached to a particle of mass 3m. The string has natural length 2a and modulus of elasticity 6mg. The particle rests in equilibrium.

a. Show that the extension in the string is a.

b. A smaller particle of mass km is attached to the existing particle. If the EPE increase is 8/3 mgaJ, find the value of k.

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