Vibration Problem with Fixed End Beam and Unbalanced Motor | Homework Help

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SUMMARY

The discussion centers on a vibration problem involving a fixed end beam carrying an unbalanced motor. When the motor operates at speeds between 120 and 150 RPM, it induces vibrations in the beam that cause a small mass at point A to lose contact and "dance" on the beam. The task is to determine the amplitude of vibration at 120 RPM and 150 RPM, as well as to calculate the natural frequency of the system, which is influenced by the motor's angular speed.

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vibration problem!

Homework Statement



Question:There is a fixed end beam PQ. It is carrying a motor M. The motor is unbalanced and when the motor is rotating ,it is making the beam to vibrate with a frequency equal to the speed of the motor. A small mass is kept at point A just above the motor on the beam. it also goes up & down along with the beam . When the motor speed is 120 - 150rpm, the object at A is loosing contact with the beam & is actually dancing on the beam. Determine the amplitude of vibration when the speed of motor is 120 rpm and when 150 rpm . Then calculate the natural frequency of the system.

|---------------------M--------------------|

data may be suitably assumed.


Homework Equations



can't get any of them

The Attempt at a Solution



This is a base excitation problem. but the natural frequency is diff. to find. pls help
 

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bikramjit das said:
The motor is unbalanced and when the motor is rotating ,it is making the beam to vibrate with a frequency equal to the speed of the motor

which speed are we talking about here?
 


@cupid: u can assume the speed of motor as N. This is equal to the frequency of vibration of beam (base).
 


i mean ... are we talking about angular speed?
 


yeah, angular speed...pls solve it quickly, grave need
 


heyy...some one help me out with this question
 

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