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ELASTIC VIBRATIONS OF RODS
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amplitude arbitrary assume assumption axis bulk modulus cantilever centre characteristic circular column of air component consider constant corresponding coupled curvature diffraction direction discussion distance effects elastic electric electromagnetic element elementary energy equation experiment experimental figure film finite force frequency Fresnel Fresnel zone fringes fundamental mode given group velocity ideal infinite instant instantaneous displacement interference length light liquid load longitudinal waves magnitude mass measure medium membrane modulus normal modes observation obtain obviously oscillation particle motion pattern period phase velocity phase waves physical physicist pipe plane wave plate polarised portion problem pulse quantity radiation radius ratio reference region relation represented respect result right angles screen simple harmonic motion sinusoidal situation specified spherical stretched string surface tension theory tion transverse transverse wave velocity of propagation vibrations wave front wave process wave trains wavelength wire Young's modulus zero zone