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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: ques 19 S.H.M ,H.C.VERMA !!
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anchitsaini (4352)

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Olaaa!! Perrrfect answer. 796  [982 rates]

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when the block is shifted by a distance x along the spring c it is acted upon by 3 forces of a b and c
for a restoring force(f1)=kx
for b f2=kx cos45
for c f3=kx cos 45
the resultant of f2 and f3 is along f1
R2,3=underroot(k^2x^2cos^45+k^2x^2cos^45 +o)=kx
[f2 and f3 are perpendicular to each other]
therefore total restoring force=kx+kx=2kx
which is proportional to x, therefore s.h.m
now
2kx=mw^2x
w^2=2k/m
T=2pie /underroot(w^2)
 =2pie underroot(m/2k)


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