By S Graham Kelly
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Additional resources for Mechanical vibrations : theory and applications
A basic law of nature is proven only empirically. The point of application of surface forces is anywhere in the body. The number of degrees of freedom necessary to model a mechanical system is not unique. Distributed parameter systems are another name for discrete systems. The Buckingham Pi theorem is used to predict how many non-dimensional variables are used in a dimensionless formulation of a dimensional relationship. A rigid body undergoing planar motion has at most three degrees of freedom.
53) is not a vector equation and represents one equation. 53) that the system of applied impulses is equivalent to the difference between the system momenta at t1 and the system momenta at t2. 19 for a rigid body undergoing planar motion. Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience.
Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 11 12 CHAPTER 1 dependent variable: call it n. Then count the number of basic dimensions involved in the variables; call it r. Then you need n Ϫ r dimensionless variables or groups. 4) where 1 is a dimensionless group of parameters involving the dependent variable and 2 and 3 are dimensionless groups that involve only the independent parameters. Usually, the dimensionless parameters have physical meaning.