1. Angular Momentum Balance

Try these first

1. 1.

   Define angular momentum in your own words.

   Hint

   Think about how mass and speed relate to a spinning object.

2. 2.

   What is torque and how is it related to angular momentum?

   Hint

   Remember the right-hand rule for direction.

3. 3.

   What does the angular momentum depend upon?

   • Mass
   • Velocity
   • Both Mass and Velocity

   Hint

   Think about the formula L = mvr.

4. 4.

   True or False: Body forces can be considered as forces acting at a point.

   • True
   • False

   Hint

   Remember how forces like gravity act on an entire body.

5. 5.

   A solid cube experiences a uniform gravitational field. If we define the cube's mass as 4 kg and its side length as 2 m, calculate the torque about an axis through one corner due to the weight of the cube.

   Hint

   Use the torque equation while considering the right geometry of the cube.

6. 6.

   A cylinder is rotating with an angular velocity of 5 rad/s. It is subjected to a constant torque of 10 Nm. Calculate the change in angular momentum after 4 seconds.

   Hint

   Remember that angular momentum is affected by the net torque applied over time.