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# Engineering Mechanics - Center of Gravity and Centroid

### Exercise

• General Questions
"Act well your part; there all honor lies."
- Alexander Pope
1.

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.

 A. 27.6 liters of paint, V = 52.6 m3 B. 20.1 liters of paint, V = 50.3 m3 C. 26.4 liters of paint, V = 56.5 m3 D. 25.1 liters of paint, V = 55.0 m3

2.

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.

 A. = 75.2 mm B. = 97.5 mm C. = 85.9 mm D. = 102.5 mm

3.

Locate the centroid of the shaded area.

 A. = 0.667 m, = 2.40 m B. = 0.500 m, = 2.80 m C. = 0.800 m, = 2.00 m D. = 0.600 m, = 2.60 m

4.

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

 A. V = 1.083 m3 B. V = 1.309 m3 C. V = 1.756 m3 D. V = 8.67 m3

5.

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

 A. = 112.3 mm B. = 125.0 mm C. = 100.0 mm D. = 91.7 mm