Answer:
Its given below:
Explanation:
The center of mass of an object is the point at which the object can be balanced perfectly, without any rotation occurring when subjected to external forces. In the case of a flat sheet, which can be considered as a two-dimensional object, the center of mass is a single point that lies within the plane of the sheet.
To visualize this concept, let's consider a rectangular sheet of paper as an example. Imagine you have a rectangular piece of paper, and you want to find its center of mass.
First, you would need to locate the two axes that define the coordinates on the sheet. Let's assume the longer side of the rectangle corresponds to the x-axis, and the shorter side corresponds to the y-axis. The origin (0,0) would then be at the bottom-left corner of the sheet.
To find the center of mass, you need to determine the coordinates (x_cm, y_cm) where the sheet can be perfectly balanced. For a rectangular sheet, the center of mass lies at the intersection of the two diagonals. In other words, it is the point where the diagonals intersect each other. This point is equidistant from all four edges of the sheet.
Once you have found the center of mass, you can use it as a reference point for various calculations or analyses involving the sheet. For example, if you want to balance the sheet on a single finger, you would need to place your finger exactly at the center of mass to prevent the sheet from tilting or rotating.
Keep in mind that this concept applies not only to flat sheets but to any object in the physical world. The center of mass is an essential concept in physics and plays a crucial role in understanding how objects behave under the influence of external forces.