Estimate the. poriod of osalaon (w). as a funchon of amplitude A by., minimizıng the "objechue fvntion (* +x1 dt with X = A coswt a If x = ) A cosut what is the velouty what isthe acceleraten ( What is the intagrand +x] in terms of A, coswt, ? © Parform the ntegral O do determine dw

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O For the classical an haomonic.osalbtar.
the differential equetian.is
Xマ
ztP
Estimate the poriod of os allon (w).
as a funchon of amplitude A by.,
the "objectue fvnctiom
[X +x'1 dt
Minimizing.
with
X = A ceswt
@ If x = ){
A cosut what is the velocaty
what isthe acceleraten
(
6 whrat is the intagrand +x] in terms of
A, coswt,?
© Perform the integral
deter mine
dw
Transcribed Image Text:O For the classical an haomonic.osalbtar. the differential equetian.is Xマ ztP Estimate the poriod of os allon (w). as a funchon of amplitude A by., the "objectue fvnctiom [X +x'1 dt Minimizing. with X = A ceswt @ If x = ){ A cosut what is the velocaty what isthe acceleraten ( 6 whrat is the intagrand +x] in terms of A, coswt,? © Perform the integral deter mine dw
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