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
π2f2x2mD.f2x2m
Solution
KE at centre
=
mω2(A2) = m4π2f2A2
KE at distance x
=m4π2f2(A2 - x2)
Difference = m × 4π2f2x2 = 2π2f2x2m
=
mω2(A2) = m4π2f2A2KE at distance x
=
m4π2f2(A2 - x2)Difference =
m × 4π2f2x2 = 2π2f2x2mCreate a free account to view solution
View Solution FreeMore SHM Questions
The graph shows the variation of displacement of a particle executing S.H.M with time We inference from this graph that ...A force of 6.4 N stretches a vertical spring by 0.1 m. The mass that must be suspended from the spring so that it oscill...A ring is suspended from its one end and oscillating then its time period for small oscillations will be...The potential energy of a particle executing S.H.M. at a distance x from mean position is :...The mass of a solid body is 200 gm and oscillates about a horizontal axis at a distance of 20 cms from the centre of gra...