- #1

Saptarshi Sarkar

- 99

- 13

- Homework Statement
- The anharmonicity in the potential of a simple pendulum is of the order of

1. ##\theta##

2. ##\theta^2##

3. ##\theta^3##

4. ##\theta^4##

- Relevant Equations
- ##V=mgl(1-cos\theta)##

I know that the potential of a simple pendulum is given by the above formula and that we can expand ##cos\theta## to get

##V=mgl\left(\frac{\theta^2}{2}-\frac{\theta^4}{24}+...\right )##

I am guessing that the answer is ##\theta^4##, but I am not sure what "order" means here.

##V=mgl\left(\frac{\theta^2}{2}-\frac{\theta^4}{24}+...\right )##

I am guessing that the answer is ##\theta^4##, but I am not sure what "order" means here.