(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Applying conservation of potential energy,

## mgL (1 - \cos{ \theta_0}) = mg(L + \delta ) (1 - \cos{ \theta_1}) ##

## \cos{ \theta_1} - \cos{ \theta_0} = \frac { \delta - \delta \cos{ \theta_1}} L ##

Taking the approximation,

## ( \theta_0 - \theta_1)(\theta_0+ \theta_1) =\frac { 2 \delta } L ##

## \theta_0 -\theta_1 = \frac { \delta }{ L \theta_0} ##

## \theta_1 = \theta_0 \left (1 - \frac { \delta }{ L {\theta_0}^2} \right ) ##

Is this correct?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Approximation for a slipped pendulum

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**