## anonymous 5 years ago How does external torque produce angular acceleration about the center-of-mass?

1. anonymous

$dL/dt=r \times F$ where L is an angular momentum $L=I \omega$ and $I$ is moment of inertia, $\omega$ is an angular velocity, $\tau = r \times F$ is a torque. So, if you differentiate $\omega$ you get angular acceleration. $I$ is a matrix in general.

2. anonymous

$\tau = r \times F = I \alpha$ where $I$ is is moment of inertia, where $\alpha$ is angular acceleration