Consider the steady-state absolute amplitude equation shown below, if ω / ω n = √2 then
amplitude ratio (X/Y) =?
(X/Y) = √{1 + [ 2ξ (ω/ω n )] 2 } / √{[1 – (ω/ω n ) 2 ] 2 + {2ξ (ω/ω n ) 2 }
A. 0
B. 1
C. less than 1
D. greater than 1

1 Answer

Answer :

B. 1

Related questions

Description : In the graph shown below, the region in which frequency ratio (ω/ω n ) > √2 is known as____ A. Amplification region B. Isolation region C. Spring controlled region D. None of the above

Last Answer : B. Isolation region

Description : n vibration isolation system, if ω/ω n is less than √2 , then for all values of the damping factor, the transmissibility will be a) less than unity b) equal to unity c) greater than unity d) zero

Last Answer : c) greater than unity

Description : In vibration isolation system, the transmissibility will be equal to unity, for all values of damping factor, if ω/ωn is A. Equal to 1 B. Equal to √2 C. Less than √2 D. Greater than √2

Last Answer : B. Equal to √2

Description : A shaft of length l carries two discs at its two ends. The lowest torsional frequency is ω n . If the shaft length is doubled, then the lowest torsional frequency becomes A ω n /2 B ω n /√2 C √2ω n D 2ω n

Last Answer : B ω n /√2

Description : In vibration isolation system, if ω/ω n < 2, then for all values of damping factor, the transmissibility will be a) less than unity b) equal to unity c) greater than unity d) zero

Last Answer : c) greater than unity

Description : In vibration isolation system, if ω/ω n < 2, then for all values of damping factor, the transmissibility will be a) less than unity b) equal to unity c) greater than unity d) zero

Last Answer : c) greater than unity

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

Description : n steady state forced vibrations, the amplitude of vibrations at resonance is _____________ damping coefficient. a) equal to b) directly proportional to c) inversely proportional to d) independent of

Last Answer : c) inversely proportional to

Description : In the case of steady state forced vibration at a resonance, the amplitude of vibration is A) Inversely proportional to damping coefficient B) Inversely proportional to damping ratio C) Inversely proportional to resonant frequency D) Directly proportional to resonant frequency

Last Answer : B) Inversely proportional to damping ratio

Description : In vibration isolation system, if ω/ωn < 2, then for all values of damping factor, the transmissibility will be A less than unity B equal to unity C greater than unity D zero

Last Answer : C greater than unity

Description : Calculate damping ratio if mass = 200Kg, ω = 20rad/s and damping coefficient = 800 N/m/s A. 0.03 B. 0.04 C. 0.05 D. 0.06

Last Answer : A. 0.03

Description : A vibrating machine of 100 kg is mounted on a rubber pad which has stiffness of 500 N/m. Determine force transmitted to the foundation if the unbalanced force 500 N acts on it. The frequency ratio (ω/ω n ) is 1.5 and ξ = 0.5 A. 461.62 N B. 400.23 N C. 450 N D. Insufficient data

Last Answer : A. 461.62 N

Description : Calculate damping ratio from the following data: mass = 200Kg ω = 20rad/s damping coefficient = 1000 N/m/s a) 0.03 b) 0.04 c) 0.05 d) 0.06

Last Answer : b) 0.04

Description : Calculate damping ratio from the following data: mass = 200Kg ω = 20rad/s damping coefficient = 800 N/m/s a) 0.03 b) 0.04 c) 0.05 d) 0.06

Last Answer : a) 0.03

Description : Transmissibility in a support excitation system is defined by A) Ratio of absolute amplitude of the mass to the excitation amplitude of the support B) Reciprocal of (a) C) Ratio of the ... the foundation, to the equivalent force corresponding to maximum displacement excitation D) None of the above

Last Answer : B) Reciprocal of (a)

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

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

Description : Which among the following is the fundamental equation of S.H.M.? A. x + (k / m) x =0 B. x + ω 2 x =0 C. x + (k/ m) 2 x =0 D. x 2 + ωx 2 =0

Last Answer : B. x + ω 2 x =0

Description : Which among the following is the fundamental equation of S.H.M.? A) x + (k / m) x =0 B) x + ω 2 x =0 C) x + (k/ m) 2 x =0 D) x 2 + ωx 2 =0

Last Answer : B) x + ω 2 x =0

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

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

Description : Which among the following is the fundamental equation of S.H.M.? a. x+(k/m)x=0 b. x+ω 2 x=0 c. x+(k/m) 2 x=0 d. x 2 + ωx 2 =0

Last Answer : d. x 2 + ωx 2 =0

Description : In steady state forced vibrations, the amplitude of vibrations at resonance is _____________ damping coefficient. A equal to B directly proportional to C inversely proportional to D independent of

Last Answer : C inversely proportional to

Description : In steady state forced vibrations, the amplitude of vibrations at resonance is __________ damping coefficient. A. Equal to B. Directly proportional to C. Inversely proportional toD. Independent of

Last Answer : C. Inversely proportional to

Description : In steady state forced vibrations, the amplitude of vibrations at resonance is _____________ damping coefficient. (A) equal to (B) directly proportional to (C) inversely proportional to (D) independent of

Last Answer : (C) inversely proportional to

Description : In steady state forced vibrations, the amplitude of vibrations at resonance is _____________ damping coefficient. a) equal to b) directly proportional toc) inversely proportional to d) independent of

Last Answer : c) inversely proportional to

Description : Which of the following vibro-meters have frequency ratio (ω/ω n )

Last Answer : A. Accelerometers

Description : A shaft of diameter d carries two discs at its two ends. The lowest torsional frequency is ω n . If the diameter is doubled, then the lowest torsional frequency becomes A 4ω n B ω n /2 C ω n /4 D 4ω n

Last Answer : D 4ω n

Description : In vibration isolation system, if ω/ω n > 1, then the phase difference between the transmitted force and the disturbing force is A. 0° B. 90° C. 180° D. 270°

Last Answer : C. 180°

Description : In vibration isolation system, if ω/ω n , then the phase difference between the transmitted force and the disturbing force is a) 0° b) 90° c) 180° d) 270°

Last Answer : c) 180°

Description : In vibration isolation system, if ω/ω n , then the phase difference between the transmitted force and the disturbing force is a) 0° b) 90° c) 180° d) 270

Last Answer : c) 180°

Description : In vibration isolation system, if ω/ω n > 1, then the phase difference between the transmitted force and the disturbing force is a) 0° b) 90° c) 180° d) 270°

Last Answer : c) 180°

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 type of node vibration. A. Three node vibration B. Two node vibration C. Single node vibration D. None of the above

Last Answer : B. Two node vibration

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 type of node vibration. A. Three node vibration B. Two node vibration C. Single node vibration D. None of the above

Last Answer : B. Two node vibration

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

Description : . In centrifugal pendulum absorber , the natural frequency in cycle per second can be given by A Fn =N √(R/L) B Fn =1/N √(R/L) C Fn =N/2 √(R/L) D Fn =N2 √(R/L)

Last Answer : A Fn =N √(R/L)

Description : In centrifugal pendulum absorber , the natural frequency in cycle per second can be given by A) Fn =N √(R/L) B) Fn =1/N √(R/L) C) Fn =N/2 √(R/L) D) Fn =N2 √(R/L)

Last Answer : A) Fn =N √(R/L)

Description : The natural frequency of a spring-mass system on earth is ω n . The natural frequency of this system on the moon (g moon = g earth /6) is a) ω n b) 0.408ω n c) 0.204ω n d) 0.167ω n

Last Answer : a) ω n

Description : The natural frequency of a spring-mass system on earth is ω n . The natural frequency of this system on the moon (g moon = g earth /6) is a) ω n b) 0.408ω n c) 0.204ω n d) 0.167ω n

Last Answer : a) ω n

Description : The two resonant frequency ratio (ω/ ω2) in a dynamic vibration absorber system for a mass ratio 0.2 are given by A) 0 ; 1.0 B) 0.801 ; 1.248 C) 0.458 ; 1.124 D) 0.642 ; 1.558

Last Answer : B) 0.801 ; 1.248

Description : Calculate critical damping coefficient in N/m/s from the following data: mass = 100Kg ω = 40rad/s a) 25,132 b) 26,132 c) 27,132 d) 28,132

Last Answer : a) 25,132

Description : Calculate equivalent stiffness of the spring for the system shown below, which has spring stiffness of 3000 N/m a. 1000 N/m b. 2250 N/m c. 2000 N/m d. None of the above

Last Answer : b. 2250 N/m

Description : If ωmax is the frequency at which the peak amplitude occurs and ωn is the natural frequency of the system then In a forced vibration system with damping, the higher the damping, A) More will be ... and ωmax is independent of damping in this system D) The difference between ωn and ωmax will be zero

Last Answer : A) More will be the difference between ωn and ωmax

Description : According to the untuned dry fraction damper amplitude reduction will be A) Lesser if lesser amount of energy dissipated B) Greater if greater amount of energy dissipated C) Greater if lesser amount of energy dissipated D) Lesser if greater amount of energy dissipated

Last Answer : B) Greater if greater amount of energy dissipated

Description : In vibration isolation system, if ω/ωn, then the phase difference between the transmitted force and the disturbing force is A 0° B 90° C 180° D 270°

Last Answer : C 180°

Description : The natural frequency of torsional vibration is given by A) ωn = (-kt)/I B) ωn = kt/I C) ωn = √(kt/I) D) ωn = √(2&kt/I)

Last Answer : C) ωn = √(kt/I)

Description : In under damped vibrating system, if x 1 and x 2 are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to A x 1 /x 2 B log (x 1 /x 2 ) C loge (x 1 /x 2 ) D log (x 1 .x 2 )

Last Answer : C loge (x 1 /x 2 )

Description : In under damped vibrating system, if x 1 and x 2 are the successive values of the C amplitude on the same side of the mean position, then the logarithmic decrement is equal to ( A ) x 1 /x 2 ( B ) log (x 1 /x 2 ) ( C ) loge (x 1 /x 2 ) ( D ) log (x 1 .x 2 )

Last Answer : ( C ) loge (x 1 /x 2 )

Description : In under damped vibrating system, if x 1 and x 2 are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to a) x 1 /x 2 b) log (x 1 /x 2 )c) loge (x 1 /x 2 ) d) log (x 1 .x 2 )

Last Answer : b) log (x 1 /x 2 )