Q.3 A uniform slender rod, carying a slider at a distance b measured from point 0, is supported by a spring and damper. The mass of the rod is 3 kg and that of the slider is 1.2 kg. Also, the mass of the spring is 1.2 kg. The free end of the damper is subjected to harmonic motion given by x(1) as shown in the figure below. Assuming small oscillations about the horizontal equilibrium position, determine a) the steady state angular displacement of the rod about point O (in rad) b) the amplitude of the linear velocity of the slider, (in mm/s). The specific value of b =0.8 x(t) = 0.02 sin 10t 1.2 kg 250 N/m 1.2 kg | 12 Ns/m 3 kg 0.4 m b 0.8 m
Q.3 A uniform slender rod, carying a slider at a distance b measured from point 0, is supported by a spring and damper. The mass of the rod is 3 kg and that of the slider is 1.2 kg. Also, the mass of the spring is 1.2 kg. The free end of the damper is subjected to harmonic motion given by x(1) as shown in the figure below. Assuming small oscillations about the horizontal equilibrium position, determine a) the steady state angular displacement of the rod about point O (in rad) b) the amplitude of the linear velocity of the slider, (in mm/s). The specific value of b =0.8 x(t) = 0.02 sin 10t 1.2 kg 250 N/m 1.2 kg | 12 Ns/m 3 kg 0.4 m b 0.8 m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Q.3 A uniform slender rod, carrying a slider at a distance b measured from point O, is
supported by a spring and damper. The mass of the rod is 3 kg and that of the slider is
1.2 kg. Also, the mass of the spring is 1.2 kg. The free end of the damper is subjected
to harmonic motion given by x(t) as shown in the figure below. Assuming small
oscillations about the horizontal equilibrium position, determine
a) the steady state angular displacement of the rod about point O (in rad)
b) the amplitude of the linear velocity of the slider, (in mm/s).
The specific value of b =0.8
x(t) = 0.02 sin 10t
1.2 kg
250 N/m
1.2 kg
| 12 Ns/m
3 kg
0.4 m
b
0.8 m
HE
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