A body is performing S.H.M. Then its
(a) Average total energy per cycle is equal to its maximum kinetic energy.
(b) Average kinetic energy per cycle is equal to half of its maximum kinetic energy.
(c) Mean velocity over a complete cycle is equal to 2 π times of its maximum velocity.
(d) Root mean square velocity is 1/√ 2 times of its maximum velocity
A body is performing S.H.M. Then its
(a) Average total energy per cycle is equal to its maximum kinetic energy.
(b) Average kinetic energy per cycle is equal to half of its maximum kinetic energy.
(c) Mean velocity over a complete cycle is equal to 2 π times of its maximum velocity.
(d) Root mean square velocity is 1/√ 2 times of its maximum velocity
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1 Answer
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This is a multiple choice answer as classified in NCERT Exemplar
(a, b, d) a) total mechanical energy of the body at any time t is
E= w2a2
KE=1/2mv2=
Kmax= ½ mw2a2=E
b) K= ½ mw2a2cos2wt
for a cycle value of coswt is =1/2
= 1/4 mw2a2= kmax/2
c) v=dx/dt = a coswt
Vmaen =Vmax+Vmin/2
= aw-aw/2=0
d)Vrms=
Vrms=Vmax/
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