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Egr2 54.23: mxt+xls kKx= 0 “This provlem deals wrth a highly simplified model ofa car of weight 3200 Ip (massmrt7O slugs in Eps units ) Assume that the suspension suslem acts like a single sping and tts Shock absorbers satisfy the abowe equation wrth ¢ nate valves of Sent ab Se ie a 1 rh a . the caefeents, Peep 74 see a) Pind the stiffness coefficient K of the spnngif the car undergoes Wo = ads Free ibmbors at BO cycles “min whens shock absorbew are disconnected, y) with the sheck ebsorbers connected the car is set inte Vibvabion by driving iF over a bump , and the resuthng damped Vibrations have _ a freaqency OF TB cydes min. < W= Bate After how long will the shme-varying amplhade be 1% of its wnithdvele 7 ee ag®: ‘ol <_< m= <= when C=O 46 san yodenres et =.01 a WOX"rOX! + Kx =O 7 Kt Ex = O Get “PK = 100 We® = (00 GOB) 7708.4 We= 80 cydes = 80 (QT ed) . - lows /ft? e min GO sec, 80(4) ad = fy ed 168 md . eno b) (00 x"! +ex! ‘exe Now lenowr fod feeor + K=O r= -calch4qwe = -¢ + U1 dkect 200 a 200 =-ktlu gwen that wW= Toads (7% ad 2 Pro Cos Sec 1 . save fore (aide. 8B) > gook~c2 = gost (THB? cts ok — Bou? (Thy? = it 200" Gage)? — ue fa _ “+ 2, dit Gedy cz 20 uE 7g? = 372,54 but T= R= e ~ 05772 sec 4G = UIs SVT ee complex. podts C "clamped vibrations") t & tales 4.6 crandenthe tes to wcduce the tnthal amplirhake ty « fachw £00 ) nole . we did not need to refer b aay formulas ether “than the quad rahi fomula ! 
