A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of √3k/m , the ratio of the amplitude of steady state response to the static deflection of the spring is __________ A. 0.2 B. 0.5 C. 0.8 D. None of the above

A single degree of freedom spring-mass system is subjected to a harmonic force of constant
amplitude. For an excitation frequency of √3k/m , the ratio of the amplitude of steady state
response to the static deflection of the spring is __________
A. 0.2
B. 0.5
C. 0.8
D. None of the above
by

1 Answer

Answer :

B. 0.5
by

Related questions

A weight of 50 N is suspended from a spring of stiffness 4000N/m and subjected to a harmonic force of magnitude 60N and frequency 60 Hz. what will be the static displacement of the spring due to maximum applied force A. 0.015m B. 0.15 m C. 15 m D. 150m

Description : A weight of 50 N is suspended from a spring of stiffness 4000N/m and subjected to a harmonic force of magnitude 60N and frequency 60 Hz. what will be the static displacement of the spring due to maximum applied force A. 0.015m B. 0.15 m C. 15 m D. 150m

Last Answer : B. 0.15 m

A vibrating system having mass 1kg, a spring of stiffness 1000N/m and damping factor of 0.632 and it is put to harmonic excitation of 10N. Find the amplitude at resonance. A 0.079 B 7.9C 0.056 D 0.00791

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Last Answer : D 0.00791

When a two-degree-of-freedom system is subjected to a harmonic force, the system vibrates at the a. frequency of applied force b. smaller natural frequency c. larger natural frequency d. None of the above

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Last Answer : a. frequency of applied force

If frequency of excitation of a forced vibration system with negligible damping is very close to natural frequency of the system, then the system will A) Execute harmonic motion of large amplitude B) Beat with a very high peak amplitude C) Perform aperiodic motion D) None of the above

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Last Answer : A) Execute harmonic motion of large amplitude

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The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 1 mm. Assume the acceleration due to gravity g = 10 m/s^2. The natural frequency of this spring-mass system (in rad/s) is A 100 B 150 C 200 D 250

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Last Answer : A 100

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Reduction in vibration amplitude after one complete cycle of single degree free vibration with dry friction damping is_____, if where F"= frictional force between mass and surface and k =stiffness of the system. a)4F/k a b) 2f/K C) 3F/k D)8F/k

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A spring-mass system has a natural frequency of 10 rad/sec. When the spring constant is reduced by 800 N/m, the frequency is altered by 45 percent. Find the mass and spring constant of the original system. a)11.47kg and 1147.95N/m b)8.95kg and 895.25N/m c) 7.265kg and 726.5N/m d)None

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Last Answer : a)11.47kg and 1147.95N/m

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Which of the following statements dealing with simple harmonic motion of a mass-spring system is TRUE? w) The acceleration is largest when the oscillating mass is instantaneously at rest. x) The larger the spring force constant the larger the period. y) The period of the motion depends linearly on the amplitude of the motion. z) The acceleration is larger when the oscillating mass has its greatest velocity.

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A cantilever shaft having 50 mm diameter and a length of 300mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the static deflection of shaft in mm. A 0.144 B 0.244 C 0.344 D 0.444

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Last Answer : A 0.144

A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 3 . Determine the static deflection of the shaft in mm. a) 0.147 b) 0.213 c) 0.132 d) 0.112

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Last Answer : a) 0.147

A vertical spring-mass system has a mass of 0.5 kg and an initial deflection of 0.2 cm. Find the spring stiffness. A. 345 N/m B. 245 N/m C. 3452 N/mD. 2452 N/m

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Last Answer : D. 2452 N/m

A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. If the mass is 50 kg, then the damping factor (d ) and damped natural frequency (f n ), respectively, are a) 0.471 and 1.19 Hz b) 0.471 and 7.48 Hz c) 0.666 and 1.35 Hz

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Magnification factor is the ratio of the maximum displacement due to forced vibrations to the deflection due to _______ A Static force B Dynamic force C Torsion D Compression

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Last Answer : B Magnification factor

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Last Answer : D. Magnification Factor

The ratio of the maximum displacement of the forced vibration to the deflection due to the static force, is known as a) Damping factor b) Damping coefficient c) Logarithmic decrement d) Magnification factor

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The ratio of the maximum displacement of the forced vibration to the deflection due to the static force is known as (A) damping factor (B) damping coefficient (C) logarithmic decrement (D) magnification factor

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According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is critically damped? A x = (A + Bt) e – ωt B x = X e – ξωt (sin ω d t + Φ) C x = (A – Bt) e – ωt D x = X e – ξωt (cos ω d t + Φ)

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According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equation for damped free vibrations having single degree of freedom. What will be the solution to this differential equation if the system is critically damped? A. x = (A + Bt) e – ωt B. x = X e – ξωt (sin ω d t + Φ) C. x = (A – Bt) e – ωt D. x = X e – ξωt (cos ω d t + Φ

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