1.2. Body force contribution

Try these first

1. 1.

   Define body forces in your own words.

   Hint

   Think of forces like gravity or magnetic fields.

2. 2.

   What is the formula for torque due to body forces?

   Hint

   Recall the quantities represented in the equation related to density and acceleration.

3. 3.

   What are body forces?

   • Forces acting on surfaces
   • Forces acting throughout the volume
   • None of the above

   Hint

   Consider examples like gravity.

4. 4.

   Is the time derivative in angular momentum calculations easy to handle in control mass settings?

   • True
   • False

   Hint

   What does control mass imply in calculations?

5. 5.

   Consider a cuboid of mass 'm' subjected to gravitational pull. Derive the total torque about its centroid due to body forces.

   Hint

   Remember, $T = r \\times F$. What simplifying assumptions can you make?

6. 6.

   A rigid body is subjected to changing external forces. How would you derive the angular momentum balance in this scenario?

   Hint

   Consider how you might express the external forces mathematically.