Answer to Question #288641 in Mechanics | Relativity for Rossy

Question

Is it TRUE that angular momentum is conserved?

State the law that governs it

Answer 1

Answer

• I do not know if this question corresponds to a previous one.
• However, the angular momentum of a system ($\small L= I\omega$ ) is theoretically conserved whenever there is no net external torque acting on it.
• The law says, whenever there is no external torque acting on a system, it experiences no change in its angular momentum.
• This in formula notation is as follows,

$\qquad\qquad \begin{aligned} \small \tau&=\small \frac{\Delta L}{\Delta t}\\ &=\small \frac{L_2-L_1}{\Delta t}\\ \small0&=\small \frac{L_2-L_1}{\Delta t}\\ \small L_2&=\small L_1 \end{aligned}$