Physics 1402A/B Lecture Notes - Lecture 30: Wave Equation, Spatial Frequency, Net Force

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Wave equation for waves propagating in one dimension: Measure of spatial frequency (oscillations cycles per unit distance) 14 wave motion page 1 keep the string on its circular path. At a pulse locatio(cid:374), the st(cid:396)i(cid:374)g"s (cid:373)otio(cid:374) de(cid:448)iates f(cid:396)o(cid:373) ho(cid:396)izo(cid:374)tal as it (cid:396)ides up a(cid:374)d do(cid:449)(cid:374) o(cid:448)e(cid:396) the pulse. As a pulse moves along a string, a small section at the top of the string forms a circular arc of some radius. String right at the top of the pulse undergoes circular motion with speed and radius. Ne(cid:449)to(cid:374)"s la(cid:449) (cid:396)e(cid:395)ui(cid:396)es that a fo(cid:396)ce of (cid:373)ag(cid:374)itude act toward the center of curvature to. The tension at each end contributes a downward component. Net force on the segment is and points toward the center of curvature. Force is provided by the difference in the direction of the string tension between the 2 ends of the section.

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