The equations of motion of a two-degree-of-freedom system can be expressed in terms of the displacement of either of the two masses.

The equations of motion of a two-degree-of-freedom system can be expressed in terms of the
displacement of either of the two masses.
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The vibration in a vehicle is normally expressed in the terms of the ______________. (A) displacement (B) velocity (C) acceleration (D) none of the above

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The velocity vector in a vector diagram for a harmonic motion A Lags the displacement vector by 180 0 B Lags the displacement vector by 90 0 C Leads the displacement vector by 90 0 D Leads the displacement vector by 180 0

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The velocity vector in a vector diagram for a harmonic motion C (A) Lags the displacement vector by 180 0 (B) Lags the displacement vector by 90 0 (C) Leads the displacement vector by 90 0 (D) Leads the displacement vector by 180 0

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The relative amplitudes of different degrees of freedom in a two-degree-of-freedom system depend on the natural frequency.

Description : The relative amplitudes of different degrees of freedom in a two-degree-of-freedom system depend on the natural frequency.

Last Answer : True

The mass, stiffness, and damping matrices of a two-degree-of-freedom system are symmetric.

Description : The mass, stiffness, and damping matrices of a two-degree-of-freedom system are symmetric.

Last Answer : True

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

The first critical speed of an automobile running on a sinusoidal road is calculated by (modeling it as a single degree of freedom system) A Resonance B Approximation C Superposition D Rayleigh quotient

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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)

Description : 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 ... Φ) C x = (A - Bt) e - ωt D x = X e - ξωt (cos ω d t + Φ)

Last Answer : A x = (A + Bt) e – ωt

What is the effect on the undamped natural frequency of a single-degree-of-freedom system if the mass of the system is increased? A The frequency will increase B The frequency will stay the same C The frequency will decrease D None of these

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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

Description : 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

Last Answer : B. 0.5

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

Description : 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 ... ) C. x = (A - Bt) e - ωt D. x = X e - ξωt (cos ω d t + Φ

Last Answer : A. x = (A + Bt) e – ωt

According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the A 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

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

Last Answer : ( A ) x = (A + Bt) e – ωt

What is the effect on the undamped natural frequency of a single-degree-of- C freedom system if the mass of the system is increased? ( A ) The frequency will increase ( B ) The frequency will stay the same ( C ) The frequency will decrease ( D ) None of these

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Last Answer : ( C ) The frequency will decrease

The number of distinct natural frequencies for an n-degree-of-freedom system can be a. 1 b. ∞ c. n

Description : The number of distinct natural frequencies for an n-degree-of-freedom system can be a. 1 b. ∞ c. n

Last Answer : c. n

The first critical speed of an automobile running on a sinusoidal road is calculated by (modeling it as a single degree of freedom system) a) Resonance b) Approximation c) Superposition d) Rayleigh quotient

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Last Answer : a) Resonance

According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential equati damped free vibrations having single degree of freedom. What will be the solution to this differ 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)

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

Last Answer : a. x = (A + Bt) e – ωt

What is the effect on the undamped natural frequency of a single-degree-of-freedom system if the stiffness of one or more of the springs is increased? (A) The frequency will increase (B) The frequency will stay the same (C) The frequency will decrease (D) None of these

Description : What is the effect on the undamped natural frequency of a single-degree-of-freedom system if the stiffness of one or more of the springs is increased? (A) The frequency will increase (B) The frequency will stay the same (C) The frequency will decrease (D) None of these

Last Answer : (A) The frequency will increase

What is the effect on the undamped natural frequency of a single-degree-of-freedom system if the mass of the system is increased? A) The frequency will increase (B) The frequency will stay the same (C) The frequency will decrease (D) None of these

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Last Answer : (C) The frequency will decrease

In the diagram shown below, if rotor X and rotor Z rotate in same direction and rotor Y rotates in opposite direction, then specify the no of degree of freedom vibration.a. Three degree of freedom vibration b. Two degree of freedom vibration c. Single degree of freedom vibration d. None of the above

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What are discrete parameter systems? A. Systems which have infinite number of degree of freedom B. Systems which have finite number of degree of freedom C. Systems which have no degree of freedom D. None of the above

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In a 2-mass 3 spring vibrating system the two masses each are of 9.8 kg coupling spring is having a stiffness of 3430 N/m whereas the other two springs have each a stiffness of 8820 N/m. The two natural frequencies in rad /sec are A) 10 & 20 B) 20 & 30 C) 30 & 40D) 40 & 50

Description : In a 2-mass 3 spring vibrating system the two masses each are of 9.8 kg coupling spring is having a stiffness of 3430 N/m whereas the other two springs have each a stiffness of 8820 N/m. The two natural frequencies in rad /sec are A) 10 & 20 B) 20 & 30 C) 30 & 40D) 40 & 50

Last Answer : C) 30 & 40

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When two masses vibrate at the same frequency and in phase, it is called a principal mode of vibration A. True B. False C. Does not depend on vibration D. None of the above

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Which of the following relations is true for viscous damping? A) Force α relative displacement B) Force α relative velocity C) Force α (1 / relative velocity) D) None of the above

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Which of the following relations is true for viscous damping? a. Force α relative displacement b. Force α relative velocity c. Force α (1 / relative velocity) d. None of the above

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