The equation of a plane standing wave in a homogeneous elastic medium has the form = a
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(a) ε and ∂ε/∂x as functions of x at the moments t = 0 and t = T/2, where T is the oscillation period;
(b) The distribution of density p (x) of the medium at the moments t = 0 and t = T/2 in the case of longitudinal oscillations;
(c) The velocity distribution of particles of the medium at the moment t = T/4; indicate the directions of velocities at the antinodes, both for longitudinal and transverse oscillations.
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We are given so Thus a ax a cos kxwt a a k sin kx cos wt and o a cos kx T...View the full answer
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