7.4. Center of Gravity and Mass Moment of Inertia of Homogenous Solids

Try these first

1. 1.

   What is the center of gravity?

   Hint

   Think about where balance occurs.

2. 2.

   Name a common shape where the center of gravity lies at its centroid.

   Hint

   Consider the shape's symmetry.

3. 3.

   What defines the center of gravity?

   • The point of weight concentration
   • The bottom point
   • The uppermost point

   Hint

   Consider where balance exists.

4. 4.

   True or false: The moment of inertia is irrelevant in structural engineering.

   • True
   • False

   Hint

   Think about its role in resistance to movement.

5. 5.

   A solid rectangular beam with a width of 0.3m, height of 0.2m, and mass of 50kg is loaded with a uniform mass on top. Calculate its moment of inertia about its base.

   Hint

   Use the specific formula for rectangles.

6. 6.

   Compare two cylindrical tanks - one with a height of 1.5m and radius of 0.75m, and the other with height 2.0m and radius 0.5m. Analyze their moment of inertia around their respective axes.

   Hint

   Remember, you need to find the mass based on volume.