Question

Four particles of mass 2 kg, 3 kg, 4 kg and 8 k) are situated at the corners of a square of side length 2m, the centre of mass may be given as

• A. $\left(\frac{30}{18},\frac{28}{18}\right)$
• B. $\left(\frac{20\sqrt{2}}{18},\frac{24\sqrt{2}}{18}\right)$
• C. $\left(\frac{14}{17},\frac{24}{17}\right)$
• D. $\left(\frac{34}{18},\frac{34}{18}\right)$

Answer 1

Answer: (C)

Consider the situation
In this situation, coordinates of centre of mass coordinate, $x=\frac{2\times 0+3\times 2+4\times 2+8\times 0}{2+3+4+8}=\frac{14}{17}$ y - coordinate, $y=\frac{2\times 0+8\times 2+2\times 4+2+3\times 0}{2+3+4+8}$ $=\frac{24}{17}$ Thus, coordinate is $\left(\frac{24}{17},\frac{24}{17}\right)$