What is the equation used to determine the center of gravity (CoG) in a system?

The center of gravity (CoG) is a critical concept in rigging and structural stability, as it helps determine how weight is distributed within a system. The correct equation for calculating the center of gravity takes into account both the weights of different objects and their respective distances from a reference point.

The formula involves the weighted sum of the products of each weight and its distance from the reference point, divided by the total weight. This ensures that the calculation reflects how far from the reference point the weight is, accurately representing the center of gravity of the system. The use of weights (W1 and W2) multiplied by their distances (D1 and D2) allows the formula to account for variations in distances and weights, giving a precise location of the center of gravity.

The correct answer emphasizes that it is necessary to combine the impacts of both weight and distance to locate the CoG properly, which is essential for ensuring balance and stability in rigging applications.