Center of Gravity and Centroid - General Questions

Locate the centroid of the exparabolic segment of area.

Locate the center of gravity of the homogeneous "bell-shaped" volume formed by revolving the shaded area about the y axis.

Locate the center of gravity of the volume generated by revolving the shaded area about the z axis. The material is homogeneous.

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.

Determine the distance  to the centroidal axis  of the beam's cross-sectional area.

Determine the volume of concrete needed to construct the circular curb.

Locate the centroid of the shaded area.

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.