I know the answer but I don't know how to solve this
Posted: Sun May 15, 2022 9:22 pm
I know the answer but I don't know how to solve this
In Problem 4.33, find the response e (t) at any time t (>0) when the amplitude is small and the initial displacement and velocity are both zero. (The picture below is the solution of 4.33.) Answer: + X 22 o(t) = = = 11 – pz (sin wt – rsinwnt),r • Wn ωη g 1
KR 0 --> Alt) = sinut , ält) - Wisinwt y <3 k Ds last او o l 2 Z Du to Img Aa= a irmo erotox rah Au – Zwisinart î. -*l (sine -cose i ) to k xl (sing î – Cose }). two sinutê - 6 ? sino î té llcat î të esino ŷ të lase ? = (-ew sinut-o Elsinetö (cast) it corecast töisine) ? TRA {fya mary of the ti casf = m(o² lase to line) {fx=mars - Tsine = ml-ear sincut-o?lsint to lease) -tand = m ( xw²sinut o al sint të lcast) m Colago të lint t8) -side co *e cosey lsine te) cool-xw smut - [sing tò dccs 6) --i²l sineast-sing Ô e-ssino • XW² costsinut-o lsine cast t ö lces & -gsino = -xw²sinut cost të l (care tsinle / - Ölt g sino xusinet të + {sing - il cose [ilt) = xu sinure]
sinf aficostal të + 9 20 х f T of t = dw? sinut l Let G=Asin we 2w² i x W sinur A Awesinut + * (Asiqwt] = sinut Let 4 = Asique =) HW? sincetti (A sinut): =#w2 = zur l - Hur + s = dwie n.fr - {{ = Wir -) -4 W2 AUG? Si te ) A = x 1 l (ruun ein =) 76(t)= it sincet 1 2 L sihat v Whi H w? A = 2 su e lo -42 - 4 V r
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KR 0 --> Alt) = sinut , ält) - Wisinwt y <3 k Ds last او o l 2 Z Du to Img Aa= a irmo erotox rah Au – Zwisinart î. -*l (sine -cose i ) to k xl (sing î – Cose }). two sinutê - 6 ? sino î té llcat î të esino ŷ të lase ? = (-ew sinut-o Elsinetö (cast) it corecast töisine) ? TRA {fya mary of the ti casf = m(o² lase to line) {fx=mars - Tsine = ml-ear sincut-o?lsint to lease) -tand = m ( xw²sinut o al sint të lcast) m Colago të lint t8) -side co *e cosey lsine te) cool-xw smut - [sing tò dccs 6) --i²l sineast-sing Ô e-ssino • XW² costsinut-o lsine cast t ö lces & -gsino = -xw²sinut cost të l (care tsinle / - Ölt g sino xusinet të + {sing - il cose [ilt) = xu sinure]
sinf aficostal të + 9 20 х f T of t = dw? sinut l Let G=Asin we 2w² i x W sinur A Awesinut + * (Asiqwt] = sinut Let 4 = Asique =) HW? sincetti (A sinut): =#w2 = zur l - Hur + s = dwie n.fr - {{ = Wir -) -4 W2 AUG? Si te ) A = x 1 l (ruun ein =) 76(t)= it sincet 1 2 L sihat v Whi H w? A = 2 su e lo -42 - 4 V r