3. Angular Momentum Balance

Try these first

1. 1.

   Define angular momentum.

   Hint

   Think about how rotation quantifies motion.

2. 2.

   What is the formula for torque?

   Hint

   Recall the relationship of force to rotational motion.

3. 3.

   What relationship does torque have with angular momentum?

   • Torque is proportional to angular velocity
   • Torque is the rate of change of angular momentum
   • Torque has no relation to angular momentum

   Hint

   Think about how rotational forces change motion.

4. 4.

   True or false: The center of mass must always be located within the physical body.

   • True
   • False

   Hint

   Consider shapes where mass is distributed outward.

5. 5.

   Calculate the total torque acting on a cuboid when given different forces acting at defined distances from the center of mass.

   Hint

   Remember to factor in the directions of forces; they can influence the total torque.

6. 6.

   Discuss how changing a cuboid's mass distribution affects its moment of inertia and subsequently its angular momentum.

   Hint

   Think about how pulling mass closer to the axis of rotation increases speed.