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Unformatted text preview: Mechanical Vibrations Homework #1 Due: 3Sep04  Start of Class Part 1: Remember your kinematics ! 1. A baseball bat with a length of l is cho sen by the batter shown in Figure 1. The mo tion of the bottom portion of the bat, the part closest to the batter’s hands, can be described by the following vector that is taken with refer ence to the stationary right shoe of the batter ~ r b/s = a cos( t ) ˆ I + bsin ( t ) ˆ J + 1 ˆ K . The angular rotation of the bat about hands of the batter is given by ~ Ω = Ω ˆ k . Find an expression for the bat speed and acceleration at the big end of the bat as a function of time. Figure 1: Illustration of a batter getting ready to crank a homerun. The following are interesting sites to learn more about the physics of baseball. http://www.npl.uiuc.edu/ anathan/pob/ http://wings.avkids.com/Book/Sports/instructor/knuckleball01.html Part 2: Work the following problems 1. Develop the equations of motion for the system shown in Figure 2 by two different methods:...
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 Spring '08
 CHEN
 Exponential Function, Equations, Taylor Series, Elementary algebra, Complex number

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