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For the system shown in Figure
a. Derive the equation of motion in terms of x and 0
b. Determine the natural frequencies.
c. Determine the mode shapes.
d. Determine the system response of forced vibration in terms of the coordinates shown in the
figure.
e. Determine the condition that the response of the pendulum equals to zero, 0-0
L-Im the hro masses attached at L/2.
J-4 kg.m2
1000
1000 N/m
N/m
1000 N/m
ww 4 kg w
2 kg

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