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For the harmonic oscillator with mel, C=8, K:16 ; Xo = 5, Vo=4, do the following a. Find the position function x(t) and deter

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harmonic motion mx!+ cxit&x=0; 40:5; VozXo = 4 (4) * + Set16% ao Assume soluten of form X=.ent (ert) +(ert) +10(277) 20 echaracters hic esnetion 72+$8 + 16 =0 I +24ungt we zo wn a4 - 2&wn ag &=fasi, 2(4) &=14 critical damping B) is n 120 X + 16x(0) = 4 5) 4 = -0 + Licz С2 3 ) X(t) = 5 cos(+1) + sin (41-5 - A = 55² + 2 = Sesti ar tact) = 576 (sicer cos(4x) + See Sin

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