Center of GravityDefinition The point at which the entire weight of the body may be considered as concentrated. A single vertical upward force equal to the weight and applied at the center of gravity will keep the body in equilibrium. If the acceleration due to gravity (g) is considered constant, the center of gravity is the same as the center of mass.

Determination of Center of Gravity Consider a of Irregular Shaped Body

Let: x = the distance of the CG of the body from the y-axis y = the distance of the CG of the body from the x axis

For Regularly Shaped Composite Bodies (consider the area)

where: AT = a1 + a2 + a3 .

Sample Problems1. A thin sheet of metal, 1m x 1m, has a weight of 10N. If 2N, 4N, 6N and 8N weights are hung on different corners as shown, where would the fulcrum have to be placed to balance the sheet and the weights?

2.Determine the center of gravity of the given object. a.figure 1

b. figure 2 (shaded part only)