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

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Homework Help Overview

The problem involves a fixed end beam supporting an unbalanced motor, which induces vibrations in the beam. The scenario describes a small mass on the beam that loses contact due to the vibrations caused by the motor's rotation at specific speeds.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the motor's speed and the frequency of vibration, with some questioning whether the speed refers to angular speed.

Discussion Status

There is an ongoing exploration of the problem's parameters, particularly regarding the definition of speed in the context of vibration frequency. Some participants are seeking clarification on the terms used, while others express urgency for assistance.

Contextual Notes

Participants note that data may be assumed, and there is an indication that the natural frequency of the system is challenging to determine. The original poster has indicated difficulty in applying relevant equations.

bikramjit das
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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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