A uniform rod of length L is free at one end x L and is subjected to a sinusoidal displacement S S sin ot at the other end x 0

Question

A uniform rod of length L is free at one end x L and is subjected to a sinusoidal displacement S S sin ot at the other end x 0 As a result each point on the rod oscillates with same frequency o but with different amplitude Here Y represents Young s modulus and p is density of the rod Normally the motion will be damped and the amplitude will be less than the values predicted But here we will be ignoring this effect Using these conditions x 0 The displacement s at x t is given by x L

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