KEAM 2010 Physics and Chemistry Paper

In damped oscillation, suppose, an oscillator having mass M and force constant k is acted upon by a resistive force F0. It is found that the resistive force is proportional to the velocity (v) of the oscillator. Inbl is Fb=bv, where b is a constant and is called the damping factor.
If x be the instantaneous displacement of the oscillator, then M‌

d2x

dt2

=−kx−bv
So, a particle oscillating under a force

→

F

=−k

→

x

−b

→

v

is a damped oscillator.