# Simple Harmonic Motion

1. ### Hardik Batra

118
what is the limitation of T = 2π $\sqrt{\frac{m}{k}}$

Last edited: Mar 20, 2013
2. ### tiny-tim

26,016
Hello Hardik!

Are you talking about a pendulum?

A pendulum is never exactly shm, but it is very nearly so if we assume θ = sinθ.

Since sinθ = θ - θ3/6 + …

that means the error will be a function of θ2/6 …

to find out what function, just plough through the proof.