Question

poc floot mossM with rectongala nu witho liquid.hanng a mandensl꽝 Eloos immosed in the two tirdc of the t performs harmonlc osclllahan Dod mas m is suspended fom.natual spying on the rurfoce of a plonatA wih accete oe lepiped shope Caxbxe is placed in a a stiffn ronan on the surfce of a pien with gnovlid tional acceterntion 98 5494 o) Wrlte he condition thar te float mus irotian of te Lals liquid Show ho for smou wrtiot disturbancos de He lculata He quotileni of the osciilalion oint mass mis attochad to o flked spring with a constont spylna s and o frldion endulum oElou osdllatio o mplitude, wih a lengdh as long as th hanism ofte form f -ru..r-such that ac ui (lorum fengALouthe core.m의 be) during oriticok damping ,so the function of tte re moal from tHe equlibrium store ls of te formx ertus quadr iatin1.quaro, moss m,ー de& and noaligiote thicunoss,is hung in the itotiona& flols so tnasit con otaewithous Eviction a horizontaf oxirpenlto isplane, pascing o lftte systemstots its moemons at Hme to with inltiol deiatHon xo and inltiol velocity vo colculare he constonis A aand B the edge of a t) Show that for small deflecHion anolac e equilitalum e ago perform an If Uos-Q woxo show that ke syctem posses e equilivium posltion Ondy once, calulo Cornes ponding tihe to and t sysitem will pererm hormonic oscien a ucou damping osillatian and calaslorette mass m is suspended fromanatwal spying lo witha stiffnesc of tho sustem hangs kortay onthesurface.ora olanat wlth.grontational occeleration_aeeally, and on the surfoce of o plones tS with grovlio tiona! acceteotion 98 4gA utlbrlum enoths on the tu plan )Colulae tte quotlens ofthe oscidloting ws frequencies on tte tup plonets late He quotiont of tte oscdalallo swAlw's on both plones,uhon frequencle each system acs asa pendulum oflow osdllota amplitude, w a tena'h as long as the equikibrium length O te care maq be) duying the oscillaton of Ik lenth 2. A homoyemus Quadrilolenl squano, moss m, with side& and noolig ibfe thicunes,is huna in the navitatio of field so inat İt con rotate a ithout Eviction a horizontal oxis perpendatar to itsplane, pascing through the edge of a dicgono 10) Show that for cmall deflectian anglec from stable equfium datou perform an hormonic osciene 6Colalote He oscdltlo tion froquencey CH gon te mament of nerto of a rector gefor macs plate H ard dimons toxb an oxls possing hough te center sf mos of fe plase perpendlutar t te plotd, 1 Lu Co611. Consider k Crkiner) for the На 3 Compac floot macsL with rectongular paroie Repiped shope C is placodina ーfonuLethapelauidphong amarsdensity..fo o) Wyite the conditian thar the float must Eloos immared in she two tAirdc ofte liquid Show tot for smalu Bloat performs hormonlc oscldloon a.no ttochas to a Axed spying with a constont spying s and a frldioo mechanism, ofte form f仁-ro, r such tha tue re moval from the eaullibrium Sto te Is of the frms lfte system stohts its molemen. at Hme to- with İnliard evuttonxo.and InHotelocityUo, colculare he constonts A aand B (b) f osQ woxo show thot e sqctem posses te equilbium posltion ondy once, colculore ke Co rres ponding time to and t system will periorm a ueou damping osillaron and calaslorethe feauoncay of thls oscllotian and the & quality ouror fint massls commested to an uns toble spring Frot with r such thot ue hoe damplng so the function of the remoel from te qulliorium stote is of tte form (o lf the system in quostion holds Ond at Hmo toco he moss Storts at Xoco wth a Unown in tal eloiy voo, calulere the consons A a 0s a functlon of Uo uws and plot Ha funcan oio n (b) Colaulote tte firs Hne hzo in which the sysen №seste-equilibrium porlton fort etorreponding passages pood-ULtDEUn いColculate teenotot offe System octions escloe tephyslad importo nceoffe 4 ually fo cror for a udamping system elther in men tong-st Imulaton ㅢ or with-continuau harmoninc external stimuleri mulation mass m is suspended fromanatwal spying lo witha stiffnesc of tho sustem hangs kortay onthesurface.ora olanat wlth.grontational occeleration_aeeally, and on the surfoce of o plones tS with grovlio tiona! acceteotion 98 4gA utlbrlum enoths on the tu plan )Colulae tte quotlens ofthe oscidloting ws frequencies on tte tup plonets late He quotiont of tte oscdalallo swAlw's on both plones,uhon frequencle each system acs asa pendulum oflow osdllota amplitude, w a tena'h as long as the equikibrium length O te care maq be) duying the oscillaton of Ik lenth 2. A homoyemus Quadrilolenl squano, moss m, with side& and noolig ibfe thicunes,is huna in the navitatio of field so inat İt con rotate a ithout Eviction a horizontal oxis perpendatar to itsplane, pascing through the edge of a dicgono 10) Show that for cmall deflectian anglec from stable equfium datou perform an hormonic osciene 6Colalote He oscdltlo tion froquencey CH gon te mament of nerto of a rector gefor macs plate H ard dimons toxb an oxls possing hough te center sf mos of fe plase perpendlutar t te plotd, 1 Lu Co611. Consider k Crkiner) for the На 3 Compact poro he hepiped shope Coxbx is plecedina with. a fluid. having-a mars densizgfr float, ma«At with rectongaar o Write the conditlan thar the float must floatーİmmoned.in the two third( ofte-liquid. Show ot for small orHol distarbancos oat performs harmonle oscldlsHon Colaulate the ciralor oscidloton huny 4 loint mas mis attochod to a Axed spying with a constont spring s and a filction ochanism of he form FiY such that e have orltlak damping ,so the function of the. re moal from the eaulkibrium Stote is of Hhe form alf the sstem s to s its mokemon a+ Hme to b) Uo - woxo ,sho w that he sqciem posses Cornesponding tine to and t system will perform a ucou damping osallotion and calulorethe fequancy-of-this oscillatton-and thea-quali foctor

Answer 1

multiple question should be posted separately.

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