HW1_Assg - Mechanical Vibrations Homework#1 Due 3Sep04...

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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/ a-nathan/pob/ http://wings.avkids.com/Book/Sports/instructor/knuckleball-01.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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HW1_Assg - Mechanical Vibrations Homework#1 Due 3Sep04...

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