Mechanics → Central Force Motion → Equation of Motion
Equation of Motion
Using Newton’s second law:
Radial Equation
$$ m(\ddot{r} - r\dot{\theta}^2) = F(r) $$
Angular Equation
$$ m(r\ddot{\theta} + 2\dot{r}\dot{\theta}) = 0 $$
Using Newton’s second law:
$$ m(\ddot{r} - r\dot{\theta}^2) = F(r) $$
$$ m(r\ddot{\theta} + 2\dot{r}\dot{\theta}) = 0 $$