In a S.H.M. when the displacement is one half the amplitude, what fraction of the total energy is kinetic ?
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a
zero
b
1 /4
c
1 /2
d
3 /4
answer is D.
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Detailed Solution
In case of S.H.M. K.E.=12mω2a2−x2 ∴ K.E. =12mω2a2−(a/2)2 ,( when x=a/2) =3412mω2a2 total energy =12mω2a2 raction of total energy = K.E. Total energy =3412mω2a212mωa2=34