Preve that -ut Cos lwit + ø) + Xeq %3D max bolve the 2nd order differential equatan . + b dx + Ex = 0 dt where Ø =0, Xeq W。と u= b am and W, =

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 55P: The arc length formula says the length sof arc subtended by angle in a circle of radius r is given...
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I have done the 1st one and attached the solution for it. I only need number 2 done.Thanks!

Given
equation
メ ニ
X max co8 (wot +)
whre
f = 0
and
レ。
differentading
botu side
worto 't
dx
= - X max Wo sin (wot +)
dt
Ditteren tating
again
wイto
d?x
- Xmax wi? cos (uwit +f )
ニ
dt²
- wi (Xmax coslwat +4) ]
Wo X
amae coa (wat to) ]
d?x
+ w x = o
dt?
d?x
k
Wo
dt?
vivey
Proved
Transcribed Image Text:Given equation メ ニ X max co8 (wot +) whre f = 0 and レ。 differentading botu side worto 't dx = - X max Wo sin (wot +) dt Ditteren tating again wイto d?x - Xmax wi? cos (uwit +f ) ニ dt² - wi (Xmax coslwat +4) ] Wo X amae coa (wat to) ] d?x + w x = o dt? d?x k Wo dt? vivey Proved
Prove
that
Xmax Cos Lw,t tø)
Salves
the
Second
order
differential equation
+ k x = o
dt?
Let
and
Wo =
Preve that
-ut
X = Xmax e
Cos luit
+ ø) + Xeq
%3D
Solve
grd order
di ferenti al equatian.
the
+ b dx t Ex =0
dt
where
Ø =0, Xep
Wo = k
u= b
2m
and
W, =
Transcribed Image Text:Prove that Xmax Cos Lw,t tø) Salves the Second order differential equation + k x = o dt? Let and Wo = Preve that -ut X = Xmax e Cos luit + ø) + Xeq %3D Solve grd order di ferenti al equatian. the + b dx t Ex =0 dt where Ø =0, Xep Wo = k u= b 2m and W, =
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