B. Balachandran ENME 361 Vibrations Fall 2008 Solution to Quiz #3 (September 18, 2008; Duration: ten minutes) 1a) For the system shown to the right, obtain an expression for the position vector of the mass mwith respect to the point O. 1b) By using the result from 1a), determine an expression for the velocity vector of the mass min terms of the unit vectors 1′eand2′e. Some useful relations are the following: 12,,dddtdtθ==×=×±e'e'k ωe' ωe'ωm ϕJORr e1e2PivotO O′e′2e′1±Position vector:()11112cossincossinmRrrr′=+′′′=++′′+reeeeeeeVelocity vector:coscossinsinmmdrrdtdtdtdtdtϕϕ′′+++++eVeeSince 22 21anddtdtθθ′′==−±±±±ωekωee, we have ( )21sincoscossinsincosmrRrrrrϕθ′′=−+++−++++±eee2) What is an inertial reference frame?
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This note was uploaded on 02/13/2011 for the course ENME 361 taught by Professor Yoo during the Spring '11 term at Maryland.