-
But I want you to think about the following fact.
-
Whenever you take a rigid body that's made up of many bodies,
-
each one of them has angular momentum Iω.
-
You added them all up.
-
But as a vector, each one has an angular momentum
-
coming out of the blackboard or going into the blackboard.
-
Because if r and p lie in the xy plane,
-
then r cross p lies along the z axis, either out or in.
-
That is why both torque and angular momentum
-
were treated as scalars and not as vectors.
-
Because if a vector is constrained to lie up or down the z axis,
-
we can forget about the fact it's a vector.