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Re: Mechanical Vibration Teaser Problem
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- Subject: Re: Mechanical Vibration Teaser Problem
- From: Jim Kestner <jkestner(--nospam--at)somervilleinc.com>
- Date: Fri, 22 Jan 1999 07:48:32 -0600
Believe it or not, I had this same problem 30 years ago on a test in my Vibration course! The professors must be recycling problems. Jim Kestner, P.E. Green Bay, Wi. Eddie Gonzalez wrote: > One of our interns had the following mechanical vibration problem to solve. I > thought maybe some of you on the server would get a kick in trying to solve it > -- take you back to your college years. Its a text book problem (Single Degree > of Freedom System) so keep it simple. > > A uniform bar with mass "m" lies symmetrically across two rapidly rotating, > fixed rollers, A and B, with distance L=2.0 cm between the bar's center of mass > and each roller. The rollers, whose direction of rotation are shown in the > figure, slip against the bar with coefficient of kinetic friction uk = 0.40. > Suppose the bar is diplaced horizontally by a distance X, and then released. > Q: What is the angular frequency w of the resulting horizontal simple > harmonic (back and forth) motion of the bar? > > |<------L------>|<-------L------->| > ==============M============== > O O > (clockwise (counter-clockwise > rotation) > rotation) > > assume: Prior to displacement, bar is stable, with the force of one > roller couteracting the force of the other. > > Hints: D' Alambert's Principle, Sum of F = ma > > Enjoy, > ed gonzalez > >
- References:
- Mechanical Vibration Teaser Problem
- From: Eddie Gonzalez
- Mechanical Vibration Teaser Problem
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