For the system shown in Figurel a. Derive the equation of motion in terms of x and e 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 th figure. e. Determine the condition that the response of the pendulum equals to zero, 0-0 L-1 m the two masses attached at L/2. IJ-4 kg.m? 1000 1000 N/m N/m 1000 N/m w 4 kg-w 2 kg

University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter15: Oscillations
Section: Chapter Questions
Problem 26P: A tire has a tread pattern with a crevice every 2.00 cm. Each crevice makes a single vibration as...
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For the system shown in Figure
a. Derive the equation of motion in terms of x and e
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 th
figure.
e. Determine the condition that the response of the pendulum equals to zero, 8-0
L-1 m the hro masses attached at L/2.
|J-4 kg.m?
1000
1000 N/m
N/m
1000 N/m
w 4 kg w
2 kg W
Transcribed Image Text:For the system shown in Figure a. Derive the equation of motion in terms of x and e 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 th figure. e. Determine the condition that the response of the pendulum equals to zero, 8-0 L-1 m the hro masses attached at L/2. |J-4 kg.m? 1000 1000 N/m N/m 1000 N/m w 4 kg w 2 kg W
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