SPHHRNG 3340 Chapter Notes - Chapter 3: Tuning Fork, String Vibration, Clang

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Ideal shm goes o(cid:374) fo(cid:396)e(cid:448)e(cid:396) (cid:271)ut (cid:396)eal (cid:373)e(cid:272)ha(cid:374)i(cid:272)al syste(cid:373)s a(cid:396)e damped by frictional forces such as air resistance: amplitude is not constant and decreases with time. Idealizations help us deal with certain truths without dealing with messy details. F = (1 / 2pi) * sqrt (s / m) S = stiffness of spring (newtons / meter: m = mass in kilograms, 1 / 2pi ~ . 159. Springs and masses can have a one-dimensional system (the masses are required to move along a straight line path) with two modes of vibration. System of two masses and two springs has two modes of vibration : there are two separate and distinct natural frequencies for this system - one for each mode. Shapes of the (cid:373)odes a(cid:396)e diffe(cid:396)e(cid:374)t i(cid:374) the o(cid:374)e (cid:449)ith the lo(cid:449)e(cid:396) f(cid:396)e(cid:395)ue(cid:374)(cid:272)y the shape has both masses moving together so the spring is not stretched or compressed.

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