First slide

Damped oscillation

Question

A particle of mass 2g is initially displaced through 2cm and then released. The frictional force constant due to air on it is 12×10^-3N / m. The restoring force constant is 50×10^-3N /m.If it is in oscillatory motion, its time period is

Easy

A

π sec
B

π/2 sec
C

2π sec
D

4π sec

Solution

$γ = \frac{b}{2 m}; ω_{o} = \sqrt{\frac{k}{m}}$
$and time period T = \frac{2 π}{\sqrt{ω_{0}^{2} - γ^{2}}}$

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