ML d^2è/dt^2 + k*L*dè/dt + Mg è = 0
or
d^2è/dt^2 + (k/M)*dè/dt + (g/L) è = 0
k is the damping constant of proportionality (force/velocity)
The solution is damped harmonic motion.
A simple pendulum of length is oscillating through a small angle θ in a medium for which
the resistance is proportional to the velocity. Obtain the differential equation of its motion
and discuss the motion.
4 answers
is that true answer?
d^2theta/dt^2 +(g/l)sin(theta)=0
Yes