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

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

Description : 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

Last Answer : a. frequency of applied force

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

Description : 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

Last Answer : C The frequency will decrease

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

Description : 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

Last Answer : ( C ) The frequency will decrease

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

Description : 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

Last Answer : (C) The frequency will decrease

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

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

When the torsional pendulum vibrating the observed amplitudes on the same side of neutral axis for successive cycles are found to decay 50% of the initial value determine logarithmic decrement. A 0.065 B 0.006 C 0.693 D 0.5

Description : When the torsional pendulum vibrating the observed amplitudes on the same side of neutral axis for successive cycles are found to decay 50% of the initial value determine logarithmic decrement. A 0.065 B 0.006 C 0.693 D 0.5

Last Answer : C 0.693

When the torsional pendulum vibrating, the observed amplitudes on the same side of the neutral axis for successive cycles are found to decay 50% of the initial value determine logarithmic decrement. A 0.065 B 0.006 C 0.693 D 0.5

Description : When the torsional pendulum vibrating, the observed amplitudes on the same side of the neutral axis for successive cycles are found to decay 50% of the initial value determine logarithmic decrement. A 0.065 B 0.006 C 0.693 D 0.5

Last Answer : C 0.693

During free vibration, different degrees of freedom oscillate at different frequencies.

Description : During free vibration, different degrees of freedom oscillate at different frequencies.

Last Answer : False

During free vibration, different degrees of freedom oscillate with different phase angles.

Description : During free vibration, different degrees of freedom oscillate with different phase angles.

Last Answer : False

Critical speed is expressed as A rotation of shaft in degrees B rotation of shaft in radians C rotation of shaft in minutes D natural frequency of the shaft

Description : Critical speed is expressed as A rotation of shaft in degrees B rotation of shaft in radians C rotation of shaft in minutes D natural frequency of the shaft

Last Answer : D natural frequency of the shaft

Critical speed is expressed as a) rotation of shaft in degrees b) rotation of shaft in radians c) rotation of shaft in minutes d) natural frequency of the shaft

Description : Critical speed is expressed as a) rotation of shaft in degrees b) rotation of shaft in radians c) rotation of shaft in minutes d) natural frequency of the shaft

Last Answer : d) natural frequency of the shaft

Critical speed is expressed as ______. A) rotation of the shaft in degrees (B) rotation of the shaft in radians (C) rotation of the shaft in minutes (D) the natural frequency of the shaf

Description : Critical speed is expressed as ______. A) rotation of the shaft in degrees (B) rotation of the shaft in radians (C) rotation of the shaft in minutes (D) the natural frequency of the shaf

Last Answer : (D) the natural frequency of the shaft

Critical speed is expressed as a) rotation of shaft in degrees b) rotation of shaft in radians c) rotation of shaft in minutes d) natural frequency of the shaft

Description : Critical speed is expressed as a) rotation of shaft in degrees b) rotation of shaft in radians c) rotation of shaft in minutes d) natural frequency of the shaft

Last Answer : d) natural frequency of the shaft

The number of degrees of freedom in simple spring mass system is A. Zero B. One C. Two D. Three

Description : The number of degrees of freedom in simple spring mass system is A. Zero B. One C. Two D. Three

Last Answer : B. One

The number of degrees of freedom of a vibrating system depends on a. number of masses b. number of masses and degrees of freedom of each mass c. number of coordinates used to describe the position of each mass d. None of the above

Description : The number of degrees of freedom of a vibrating system depends on a. number of masses b. number of masses and degrees of freedom of each mass c. number of coordinates used to describe the position of each mass d. None of the above

Last Answer : b. number of masses and degrees of freedom of each mass

The number of degrees of freedom of a simple pendulum is: (a) 0 (b) 1 (c) 2

Description : The number of degrees of freedom of a simple pendulum is: (a) 0 (b) 1 (c) 2

Last Answer : (b) 1

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

Description : 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

Last Answer : A. True

The equations of motion of a two degree of freedom system, are, in general: A. coupled B. linear C. uncoupled D. none of the above

Description : The equations of motion of a two degree of freedom system, are, in general: A. coupled B. linear C. uncoupled D. none of the above

Last Answer : A. coupled

In two degree of freedom system, the number of coordinates required to specify the motion of system are A. One B. Two C. Three D. Four

Description : In two degree of freedom system, the number of coordinates required to specify the motion of system are A. One B. Two C. Three D. Four

Last Answer : B. Two

Co-ordinate coupling is an example of A. Single Degree of Freedom System B. Several Degree of Freedom System C. Two Degree of Freedom System D. None

Description : Co-ordinate coupling is an example of A. Single Degree of Freedom System B. Several Degree of Freedom System C. Two Degree of Freedom System D. None

Last Answer : C. Two Degree of Freedom System

Identify the given system [fixed--spring—mass—spring—mass—spring--fixed] A. Single Degree of Freedom System B. Several Degree of Freedom System C. Two Degree of Freedom System D. None

Description : Identify the given system [fixed--spring—mass—spring—mass—spring--fixed] A. Single Degree of Freedom System B. Several Degree of Freedom System C. Two Degree of Freedom System D. None

Last Answer : C. Two Degree of Freedom System

In two degree of freedom system, the numbers of amplitude observed are A. OneB. Two C. Three D. None

Description : In two degree of freedom system, the numbers of amplitude observed are A. OneB. Two C. Three D. None

Last Answer : B. Two

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.

Description : 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.

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

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

Description : 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

Last Answer : A Resonance

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

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

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

Description : 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

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

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

Description : 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

Last Answer : b. Two degree of freedom vibration

What are discrete parameter systems? *1 point (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

Description : What are discrete parameter systems? *1 point (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

Last Answer : (B) Systems which have finite number of degree of freedom

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

Description : 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

Last Answer : B. Systems which have finite number of degree of freedom

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

Description : 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

Last Answer : b. Systems which have finite number of degree of freedom

Which type of frequency measuring instrument has multiple reeds of different natural frequency to measure vibrations? A. Fullarton tachometer B. Frahm Tachometer C. Both A. and B. D. None of the above

Description : Which type of frequency measuring instrument has multiple reeds of different natural frequency to measure vibrations? A. Fullarton tachometer B. Frahm Tachometer C. Both A. and B. D. None of the above

Last Answer : B. Frahm Tachometer

A mass of 1 kg is attached to two identical springs each with stiffness k = 20 kN/m as shown in the figure. Under frictionless condition, the natural frequency of the system in Hz is close to * 1 point (A) 32 (B) 23 (C) 16 (D) 11

Description : A mass of 1 kg is attached to two identical springs each with stiffness k = 20 kN/m as shown in the figure. Under frictionless condition, the natural frequency of the system in Hz is close to * 1 point (A) 32 (B) 23 (C) 16 (D) 11

Last Answer : (A) 32

The number of natural frequency in two rotor system is A Zero B Infinite C Two D One

Description : The number of natural frequency in two rotor system is A Zero B Infinite C Two D One

Last Answer : C Two

Semi definite system having one of their natural frequency equal to A) Four B) Three C) Two D) Zero

Description : Semi definite system having one of their natural frequency equal to A) Four B) Three C) Two D) Zero

Last Answer : D) Zero

If the spring mass system with m and spring stiffness k is taken to very high altitude, the natural frequency of longitudinal vibrations * 1 point (A) increases (B) decreases (C) remain unchanged (D) may increase or decrease depending upon the value of the mass

Description : If the spring mass system with m and spring stiffness k is taken to very high altitude, the natural frequency of longitudinal vibrations * 1 point (A) increases (B) decreases (C) remain unchanged (D) may increase or decrease depending upon the value of the mass

Last Answer : (C) remain unchanged

The natural frequency of a spring-mass system on earth is ωn. The natural frequency of this system on the moon (g of moon = g of earth /6) is * 1 point (A) ωn (B) 0.408ωn (C) 0.204ωn (D) 0.167ωn

Description : The natural frequency of a spring-mass system on earth is ωn. The natural frequency of this system on the moon (g of moon = g of earth /6) is * 1 point (A) ωn (B) 0.408ωn (C) 0.204ωn (D) 0.167ωn

Last Answer : (A) ωn

The critical speed of a shaft with a disc supported in between is equal to the natural frequency of the system in A Transverse vibrations B Torsional vibrations C Longitudinal vibrations D None of the mentioned

Description : The critical speed of a shaft with a disc supported in between is equal to the natural frequency of the system in A Transverse vibrations B Torsional vibrations C Longitudinal vibrations D None of the mentioned

Last Answer : A Transverse vibrations

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

Description : 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

Last Answer : A 100

Calculate natural frequency of damped vibration, if damping factor is 0.52 and natural frequency of the system is 30 rad/sec which consists of machine supported on springs and dashpots. A 25.62 rad/sec B 20.78 rad/sec C 14.4 rad/sec D 15.33 rad/sec

Description : Calculate natural frequency of damped vibration, if damping factor is 0.52 and natural frequency of the system is 30 rad/sec which consists of machine supported on springs and dashpots. A 25.62 rad/sec B 20.78 rad/sec C 14.4 rad/sec D 15.33 rad/sec

Last Answer : A 25.62 rad/sec

Determine natural frequency of a system, which has equivalent spring stiffness of 30000 N/m and mass of 20 kg? A 12.32 Hz B 4.10 Hz C 6.16 HzD None of the above

Description : Determine natural frequency of a system, which has equivalent spring stiffness of 30000 N/m and mass of 20 kg? A 12.32 Hz B 4.10 Hz C 6.16 HzD None of the above

Last Answer : C 6.16 Hz

While calculating the natural frequency of a spring-mass system, the effect of the mass of the spring is accounted for by adding X times its value to the mass, where X is A 1/2 B 1/3 C 1/4 D 3⁄4

Description : While calculating the natural frequency of a spring-mass system, the effect of the mass of the spring is accounted for by adding X times its value to the mass, where X is A 1/2 B 1/3 C 1/4 D 3⁄4

Last Answer : B 1/3

The motion of a system executing harmonic motion with one natural frequency is known as _______ A. principal mode of vibration B. natural mode of vibration C. both a. and b. D. none of the above

Description : The motion of a system executing harmonic motion with one natural frequency is known as _______ A. principal mode of vibration B. natural mode of vibration C. both a. and b. D. none of the above

Last Answer : C. both a. and b.

Calculate natural frequency of damped vibration, if damping factor is 0.52 and natural frequency of the system is 30 rad/sec which consists of machine supported on springs and dashpots. A 21 rad/sec B 25.62 rad/sec C 20.22 Hz D 3.15 Hz

Description : Calculate natural frequency of damped vibration, if damping factor is 0.52 and natural frequency of the system is 30 rad/sec which consists of machine supported on springs and dashpots. A 21 rad/sec B 25.62 rad/sec C 20.22 Hz D 3.15 Hz

Last Answer : B 25.62 rad/sec

A spring mass system has time period of oscillation of 0.25 sec. What will be the natural frequency of the system? A 1 Hz B 2 rad sec C 4 rad/sec D 4 Hz

Description : A spring mass system has time period of oscillation of 0.25 sec. What will be the natural frequency of the system? A 1 Hz B 2 rad sec C 4 rad/sec D 4 Hz

Last Answer : D 4 Hz