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###### Mechanical Vibrations Questions

A shaft 40 mm dia and 2.5 m long has a mass of 15Kg per meter length. it is simply supported at the ends and carries three masses 90 Kg, 140Kg and 60 Kg at 0.8m,1.5m abd 2m respectively from the left support. Taking E=200 GPa. Find the Frequency of the transverse vibration using Dunkerleys method
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Derive one dimensional wave equation for lateral vibration of the string
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Derive an expression for natural frequency of a shaft carrying several loads using Dunkerleys method
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Represent the following numbers in exponential form (1) -2 + i4 (2) -2 - i4.
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Derive the solution (both complementary and Particular integral) for a differential equation of a undamped single degree freedom system with Harmonic excitation
(class: BE/BTech - Common Subjects )    Mechanical Vibration

In a single degree damped vibrating system, a suspended mass of 8 Kg makes 30 oscillations in 18 seconds, The amplitude decreases to 0.25 of the initial value of 5 oscillations. Determine: (1) the stiffness of the spring (2) the Logarithmic decreemnt. (3) The damping factor (4) the damping coefficient
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Split up the harmonic motion x=20 Sin(wt+ Pie/6) into two harmonic motions, one having a phase angle of zero and the other of 50 degree.
(class: BE/BTech - Common Subjects )    Mechanical Vibration

A commercial type of vibration pickup has a natural frequency of 6hertz and a damping factor of 0.65. What is the lowest frequency beyond which the amplitude can be measured with in one percent error?
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Explain the working principle of vibrometer(displacement measurement instrument)
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Derive an expression for the longitudinal virbration of a uniform bar of length L, one end of which is fixed and other end is free.
(class: BE/BTech - Common Subjects )    Mechanical Vibration

A disc of mass 4Kg is mounted midway between bearings which may be assumed to be simple supports. The bearing span is 480mm. The steel shaft, which is horizontal is 9mm in diameter. The CG of the disc is displaced 3mm form the geometric center. the equivalent viscours damping at the center of the disc-shaft may be taken as 49 N sec/m. if the shaft rotates at 760 rpm, find the maximum stresss in the shaft and compare it with dead load stress in the shaft. Also, find the power required to drive the shaft at this speed
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Write notes on Torsional vibration of circular shaft
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Write notes on Longitudinal vibrations of bars
(class: BE/BTech - Common Subjects )    Mechanical Vibration

A Section of pipe pertaining to a certain machine vibrates with large amplitude at a compressor speed of 220 rpm. For analyzing this system, a spring - mass system was suspended from the pipe to act as an abserber. A 1Kg absorber mass tuned to 220cpm resulted in two resonat frequencies of 188 and 258 cp,. What must be hte mass and the spring stiffness of the absorber, if the resonat frequencies are to lie outside the range of 150 and 310 cpm?
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Discuss the basic principle on which vibration measuring instruments are designed. What are their practical limitations?
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Define the term Transmissibility. Derive the expression for motion transmissibility
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Add the following motion analytically and find the amplitude and phase angle. X1=2 Cos(wt+0.5) and X2=5 Sin(wt+1.0)
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Define Degree of freedom
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Define Resonance
(class: BE/BTech - Common Subjects )    Mechanical Vibration

Define simple harmonic motion
(class: BE/BTech - Common Subjects )    Mechanical Vibration

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