Vibration mock test-3 : Practice test for GATE Aerospace-2022 by AERO GATE TOPPER

 Vibration 

Here is a quiz to help you prepare your upcoming GATE2022, ISRO, HAL exam. The GATE AE paper has several subjects, each one is equally important. However, one of the most important subjects in GATE AE is Vibrations. The subject is vast, but practice makes tackling it easy. 

This quiz contains important questions which match the pattern of the GATE, ISRO & HAL exams. Check your preparation level in every chapter of Vibrations for GATE by taking the quiz and comparing your ranks. Learn about Free vibration, forced vibration, vibration isolation, Resonance and more! 

To know whether you have achieved the required preparation or test your time management as per the question pattern within an exam environment, join these mock test. 

Vibration Mock Test 2 - Click here

Vibration Mock Test-3

1. High damping reduces the transmissibility of the non-dimensional frequency ration ω/ωn (ω = forcing frequency, ωn = natural frequency) ?

1. is less than √(2)
2. is greater than √(2)
3. is less than 1/√(2)
4. is greater than 1/√(2)

2. What is the natural frequency of the spring mass system shown below? the contact between the block and the inclined plane is frictionless. The mass of block is denoted by m and spring constants are denoted by K1 , and K2 as shown below?

1. √[(K1 + K2)/2m]
2.√[(K1 + K2)/4m]
3. √[(K1 - K2)/m]
4. √[(K1 + K2)/m]

3. For the spring mass system with a dashpot. If a force of 49 N on the dashpot produces a velocity of 0.12m/s, if the mass=10 kg and K=300 N/m, find the damping factor_____?

1. 3.72
2. 4.56
3. 0.62
4. 0.23

4. A block oscillates on spring having a mass 2 kg and having stiffness 2000N/m. The mass of the block is 10 kg and consider the inertia of the spring as well. Find the natural frequency of the system (in rad/s)_____?

1. 13.69
2. 10.12
3. 3.25
4. 9.65

5. The spring stiffness of an automobile is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. The mass is 50 kg. What is the damped natural frequency?

1. 8.48 Hz
2. 1.4 Hz
3. 1.19 Hz
4. 7.48 Hz

6. A body of 5kg supported on a spring. If the ratio of damping constant and critical damping constant is 3.26x10-3. Find the ratio of initial amplitude to amplitude after 6 cycles.

1. 1.13
2. 1.56
3. 2.36
4. None

7. The spring stiffness of an automobile is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. The mass is 50 kg. What is the damped natural frequency?

1. m=1.778 and k=3000
2. m=3.5 and k=2700
3. m=1.778 and k=2526
4. m=3.5 and k=4298

8. A vibrating system has a mass of 5 kg and a spring stiffness of 50 N/cm and a damper of damping coefficient 0.36 Ns/cm. The logarithmic decrement is_____.

1. 0.362
2. 0.453
3. 0.719
4. 0.604

9. In a vibrating system the spring has stiffness 8 N/m and the mass is 2 kg. The system is having a damper whose damping coefficient of viscous damping is 8 N-s/m. The system is____.

1. Over damped system
2. Under damped system
3. Critical damped system
4. Undamped system

10. The amplitude of unbalanced force in a system is 80 N. What will be the transmitted force to the base at resonance if the damping factor is 0.4____?

1. 64 N
2. 128 N
3. 160 N
4. 180 N

11. The equation of motion for a single degree of freedom system is 2X" + 6X' + 72X = 0. The frequency of damped vibration will be____.

1. 4.20 rad/s
2. 4.80 rad/s
3. 5.50 rad/s 4. 5.80 rad/s

12. A block of mass 20kg is placed at the free end of cantilever beam of length 2m and second moment of area 500mm4 and young's modulus 200 GPa. The natural frequency of excitation is?

1. 1 rad/s
2. 1.4 rad/s
3. 1.6 rad/s
4. 1.8 rad/s

13. If a spring mass system has a natural frequency f, then the natural frequency of the system, If the same spring is cut into four equal parts and attached to same mass is parallel____.

1. 2f
2. f/2
3. 4f
4. f/4

14. A vertical shaft of 90mm diameter and 1 m length has its upper end fixed at top. The other end carries a disk of 500 kg and E= 105 N/mm2 of shaft material. Find the natural frequency of longitudinal vibrations.

1. 1128 rad/s
2. 1638 rad/s
3. 828 rad/s
4. 2242 rad/s

15. If a spring mass system has a natural frequency f, then the natural frequency of the system, If the same spring is cut into four equal parts and attached to same mass is parallel____.

1. mX" + cX' + k(X - Y) = 0
2. m(X" - Y") + c(X' - Y') + kX =0
3. mX'' + c(X' - Y') + kX =0
4. m(X" - Y") + c(X' - Y') + k(X - Y) =0