1. The truss is made from seven members, each having a mass of 6 kg/m. Locate the position (,) of the center of mass. Neglect the mass of the gusset plates at the joints.
2. Locate the center of gravity of the volume generated by revolving the shaded area about the z axis. The material is homogeneous.
3. Locate the center of gravity of the homogeneous "bell-shaped" volume formed by revolving the shaded area about the y axis.
4. Locate the centroid of the exparabolic segment of area.
5. Determine the approximate amount of paint needed to cover the surface of the water storage tank. Assume that a liter of paint covers 2.5 m2. Also, what is the total inside volume of the tank.
6. Determine the distance to the centroid axis of the beam's cross-sectional area. Neglect the size of the corner welds at A and B for the calculation.
7. Locate the centroid of the shaded area.
8. Determine the volume of concrete needed to construct the circular curb.
9. Determine the distance to the centroidal axis of the beam's cross-sectional area.