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1. Sketsalah grafik-grafik dari fungsi berikut,
a. Y=Sin3x ; b. Y=3Cosx ; c. Y=2Sinx + Cos3x
a. Y=Sin3x
х y0 0.000030 1.000045 0.707160 0.000090 -1.0000120 0.0000135 0.7071150 1.0000180 0.0000210 -1.0000225 -0.7071240 0.0000270 1.0000300 0.0000315 -0.7071330 -1.0000360 0.0000
0 30 60 90 120 150 180 210 240 270 300 330 360 390
-1.5
-1.0
-0.5
0.0
0.5
1.0
1.5
b. Y=3Cosx
х y0 3.000030 2.598145 2.121360 1.500090 0.0000120 -1.5000135 -2.1213150 -2.5981180 -3.0000210 -2.5981225 -2.1213240 -1.5000270 0.0000300 1.5000315 2.1213330 2.5981360 3.0000
0 30 60 90 120 150 180 210 240 270 300 330 360 390
-4.0
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
4.0
c. Y=2Sinx + Cos3x
х y0 1.000030 1.000045 0.707160 0.732190 2.0000120 2.7321135 2.1213150 1.0000180 -1.0000210 -1.0000225 -0.7071240 -0.7321270 -2.0000300 -2.7321315 -2.1213330 -1.0000360 1.0000
0 30 60 90 120 150 180 210 240 270 300 330 360 390
-4.0
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
4.0
2. Diketahui : y(t)=y0Sint
X(t)=0,1m
M = 2000kg
y0 =0.2m
=157.08 rad/s
Ditanya : K(kekakuan) dan C(redaman) ?
Jawab :
K= my0
jadi, K=20000.2
=10000kg /m
xy=0.1
0.2=0.5
xy={1+(2 ζ )2
(2 ζ)2 }1/2
→
0.25 = 1+(2 ζ )2
(2 ζ)2 →
-0.75 = 4 ζ 2
4 ζ 2
ζ=0.3779645
C = ζ∗Cr=ζ∗2∗√K∗m
C= 0.3779645 * 2*√10000∗(2000/9.81) = 1079.348 kg.s/m