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) $