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For a body executing S.H.M. : (a) Pote...

For a body executing S.H.M. :
(a) Potential energy is always equal to its K.E.
(b) Average potential and kinetic energy over any given time inteval are always equal.
(c ) Sum of the kinetic and potential energy at any point of time is constant.
(d) Average K.E in one time period is equal to average potential energy in one time period . Choose the most approprate ooption from the options given below :

A

(B) and (C)

B

Only (C)

C

Only (B)

D

(C) and (D)

Text Solution

Verified by Experts

The correct Answer is:
D
` v = omega sqrt(A^(2) - x^(2))`
`KE = (1)/(2) m omega ^(2) (A^(2) - x^(2))`
`PE = (1)/(2) m omega ^(2) x^(2)`
`E _("Total ") = KE + PE`
`= (1)/(2) m omega ^(2) A^(2)`
Also `(KE)_("avg") = (PE)_("avg")`
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