Homework Help: differential equation

Posted by shasha on Monday, March 14, 2011 at 8:03am.

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.

differential equation - drwls, Monday, March 14, 2011 at 8:13am
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.
differential equation - shasha, Monday, March 14, 2011 at 8:52am
is that true answer?
differential equation - Rimple, Sunday, July 1, 2012 at 1:40am
d^2theta/dt^2 +(g/l)sin(theta)=0

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