SHMHard
Question
If a simple pendulum has significant amplitude(up to a factor of 1/e of original) only in theperiod between t = 0 s to t = 
, then t may becalled the average life of the pendulum. Whenthe spherical bob of the pendulum suffers aretardation (due to viscous drag) proportionalto its velocity, with ′b′ as the constant ofproportionality, the average life time of thependulum is (assuming damping is small) inseconds :
, then t may becalled the average life of the pendulum. Whenthe spherical bob of the pendulum suffers aretardation (due to viscous drag) proportionalto its velocity, with ′b′ as the constant ofproportionality, the average life time of thependulum is (assuming damping is small) inseconds :Options
A.2/b
B.
C.b
D.1/b
Solution
Amplitude of damped oscillator
A = A0e-bt
⇒ e-1 = e-bt
⇒
⇒
A = A0e-bt
⇒ e-1 = e-bt
⇒
⇒
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