SHMHard
Question
A particle of mass m executing SHM makes f oscillation per second. The difference of its kinetic energy when at the centre and when at a distance x from the centre is
Options
A.π2f2x2m
B.2π2f2x2m
C.
π2f2x2m
D.f2x2m
Solution
KE at centre
=
mω2(A2) =
m4π2f2A2
KE at distance x
=
m4π2f2(A2 - x2)
Difference =
m × 4π2f2x2 = 2π2f2x2m
=
KE at distance x
=
Difference =
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