1.6. An alternate method to derive AMB

Try these first

1. 1.

   What is the main assumption made in the alternate method for deriving AMB?

   Hint

   Think about the nature of stress and traction over surfaces.

2. 2.

   Which stress components contribute to torque about the e3 axis?

   Hint

   Recall how these components act relative to the centroid.

3. 3.

   What does the Angular Momentum Balance (AMB) relate to?

   • Translational motion
   • Rotational motion
   • Strain energy

   Hint

   Consider the term 'moment' related to rotation.

4. 4.

   True or False: Normal stress components contribute significantly to torque around an axis.

   • True
   • False

   Hint

   Think about how these stresses are oriented.

5. 5.

   A cuboid experiences a varying shear stress across its surfaces. Derive the torque created about the centroid due to these stresses.

   Hint

   Consider the principle of moments.

6. 6.

   In a fluid medium, determine how variations in pressure affect the stress tensor in the context of AMB.

   Hint

   Use the relationship between pressure and forces on surfaces.