
1 . 

_{} Locate the centroid of the parabolic area.


2 . 

_{} Locate the centroid of the exparabolic segment of area.


3 . 

Locate the centroid of the shaded area.


4 . 

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


5 . 

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


6 . 

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.


7 . 

Determine the distance _{} to the centroid axis _{} of the beam's crosssectional area. Neglect the size of the corner welds at A and B for the calculation.


8 . 

Determine the distance _{} to the centroidal axis _{} of the beam's crosssectional area.


9 . 

Locate the centroid _{} of the crosssectional area of the beam constructed from a plate, channel and four angles. Handbook values for the areas and centroids C_{c} and C_{a} of the channel and one of the angles are listed. Neglect the size of all the rivet heads, R, for the calculation.


10 . 

Using integration, compute both the area and the centroidal distance _{} of the shaded region. Then, using the second theorem of PappusGuldinus, compute the volume of the solid generated by revolving the shaded area about the aa axis.


11 . 

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


12 . 

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 m^{2}. Also, what is the total inside volume of the tank.


Answer choices in this exercise are randomized and will appear in a different order each time the page is loaded.
