Answer to Question #159204 in Physics for Pearl Cearine Vidallo

Question

A uniform rectangular board has a length of 8.0 cm and a width of 6 cm. Its center of 

gravity will be at a point along its diagonal ___ from vertex V

Answer 1

As we know, the center of gravity of the rectangle lies where two diagonals intersect each other. Therefore, the coordinates of the point of the center of gravity of the uniform rectangular board can be found as follows:

$$G=(\dfrac{Length}{2}, \dfrac{Width}{2})=(\dfrac{8.0\ cm}{2}, \dfrac{6.0\ cm}{2})=(4.0\ cm, 3.0\ cm).$$