Where is the C.G. of a (1) Scalene Triangle (2) Cylinder

Solution:

The center of gravity is a point where the mass of the body appears to be concentrated. It is a hypothetical point.

A point from which the weight of the body appears to act. The center of gravity is considered similar to the center of mass in a uniform gravity.

An important property of the center of gravity: A solid body can be balanced about its center of gravity. For example, a meter rule has its center of gravity at the mark 50 cm. The reason being the sum of moments of the weights of all particles of the rule about any point is 0. This point where the rule is supported is its center of gravity.

The center of gravities for the scalene triangle and cylinder are as follows:

(1) Scalene triangle – The point of intersections of medians is the center of gravity.

(2) Cylinder – The midpoint of the axis of the cylinder is the center of gravity.

Thus, the center of gravity for the scalene triangle is the point of intersection of the medians and for the cylinder, it is the midpoint of the axis of the cylinder.

Where is the C.G. of a (1) Scalene Triangle (2) Cylinder

Summary:

The center of gravity for the scalene triangle is the point of intersection of the medians and for the cylinder, it is the midpoint of the axis of the cylinder.