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Machine Dynamics Practice Test: Longitudinal and Transverse Vibrations
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Longitudinal and Transverse Vibrations topics include: Vibratory motion and its types, damped vibrations, damping factor or ratio, dynamic magnifier, free longitudinal and transverse vibrations. The difference between longitudinal and transverse vibrations is the direction in which the waves shake.  In a longitudinal wave, the particles move parallel to the wave direction. In a transverse wave, the particles move perpendicular to the wave direction.  Longitudinal waves are also known as compression waves.  Examples of transverse waves include: Vibrations on a string Ripples on the... Show more
Machine Dynamics Practice Test: Longitudinal and Transverse Vibrations
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25 Questions

1. 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 (fn), respectively, are
2. Calculate critical damping coefficient in N/m/s from the following data:
mass = 100Kg
ω = 10rad/s
3. The accelerometer is used as a transducer to measure earthquake in Richter scale. Its design is based on the principle that
4. The ratio of the maximum displacement of the forced vibration to the deflection due to the static force, is known as
5. Unit of damping factor is N/m/s.
6. Calculate critical damping coefficient in N/m/s from the following data:
mass = 100Kg
ω = 40rad/s
7. In vibration isolation system, if ω/ωn < 2, then for all values of damping factor, the transmissibility will be
8. In which direction does the damping force acts?
9. When the centre of gravity of the rotor lies between the centre line of the shaft and the centre line of the bearing, e is taken positive.
10. The natural frequency (in Hz) of free longitudinal vibrations is equal to
11. From the following data, calculate the critical speed of the shaft in rps.
Shaft diameter = 5mm
length = 200mm
Mass of disc = 50Kg at centre of shaft
E = 200GN/m2
Centre of disc at 0.25m away from centre of axis of shaft.
12. Find the displacement in mm of the free longitudinal vibrations if the Natural frequency is 20 Hz.
13. If the secondary couple polygon is open and the force polygon is closed then stability is achieved.
14. 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/m2. Determine the frequency of transverse vibrations of the shaft.
15. Which of the following methods will give an incorrect relation of the frequency for free vibration?
16. A cantilever shaft has a diameter of 6 cm and the length is 40cm, it has a disc of mass 125 kg at its free end. The Young’s modulus for the shaft material is 250 GN/m². Calculate the static deflection in nm.
17. For the secondary balancing of the engine, which of the condition is necessary?
18. Which of the following is the correct expression for secondary force?
19. In a multicylinder inline engine, each imaginary secondary crank with a mass attached to the crankpin is inclined to the line of stroke at which angle?
20. A shaft supported in ball bearings is assumed to be a simply supported.
21. When there is a reduction in amplitude over every cycle of vibration, then the body is said to have
22. Calculate the natural frequency of transverse vibrations if the static deflection is 0.01mm.
23. Fluid resistance causes damping which is known as ______
24. The natural frequency of a spring-mass system on earth is ωn. The natural frequency of this system on the moon (gmoon = gearth/6) is
25. A cantilever shaft having 50 mm diameter and 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/m2. Calculate the natural longitudinal frequency in Hz.

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