SHMHard
Question
A particle is acted upon by force F = F cos(ωt) along X-axis. The amplitude of its velocity is given by v = 
. Choose the CORRECT condition for resonance :-
. Choose the CORRECT condition for resonance :-Options
A.Y2 = XZ
B.Z2 = XZ
C.Y2 = 4XZ
D.Y2 = YZ
Solution
At resonance v will be maximum, tending to infinity. So term in the denominator i.e.
will tend to zero (minimum).
v =
∴
⇒ ω =
∴ At, ω =
Xω2 - Yω + Z = 0
⇒ X
- Y
+ Z = 0 ⇒ Y2 = 4XZ
will tend to zero (minimum).v =
∴
⇒ ω =
∴ At, ω =
Xω2 - Yω + Z = 0
⇒ X
- Y + Z = 0 ⇒ Y2 = 4XZCreate a free account to view solution
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