to return the block to its equilibrium position (x= 0). Since the acceleration a= d2x/d2,Newton’s second law yields=.2212mdxdtkx kx−−Substituting x= xmcos(ωt+ φ) and simplifying, we find =+2kkmwhereis in radians per unit time. Since there are 2πradians in a cycle, and frequency fmeasures cycles per second, we obtain =2=12fmππ+.The single springs each acting alone would produce simple harmonic motions of
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.