Homework set 04 - Homework set No. 4 Chapter 3 - Problem 3...

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Homework set No.4Chapter 3-Problem 3Simple Harmonic Motion.f10Hz2f62. 832s1Initial conditions:t0x00.25mv00.1m/sxtAcost0vtAsint0During the lectures it was derived that(or follow the text book for thexAsintcase)0arctanv0x0arctan0.162.8320.256. 37103Ax02v020.2520.162.83220.250xt0.25cos62.8t6.37103mChapter 3-Problem 7Given:m,k1andk2a) ParallelFxk1xk2xk1k2xkpk1k2pkpmk1k2mb) SeriesAssume the two strings in series are extendedxfrom equilibrium. Eachstring is then extendedx1andx2withxx1x2.The tension is the combined set ofstrings is the same anywhere, so the two strings both exert the same forceFFk1x1k2x2ksxxFksx1x2Fk1Fk21ks1k11k2ksk1k2k1k2sksmk1k2k1k2m1
Chapter 3-Problem 9For the underdamped harmonic oscillator the positionxtis given byxtAetcosdt

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Term
Fall
Professor
Sorenson
Tags
mechanics, Simple Harmonic Motion, Work, AE, damped harmonic motion, cos

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