Question

The position of the centre of mass of the uniform plate as shown in the figure is:

• A. \(\left(-\frac{a}{2}, -\frac{b}{2}\right)\)
• B. \(\left(\frac{a}{8}, \frac{b}{8}\right)\)
• C. \(\left(-\frac{b}{6}, -\frac{a}{6}\right)\)
• D. \(\left(-\frac{a}{6}, -\frac{b}{6}\right)\)

Hint:

For a uniform plate, the center of mass lies at the geometric center, and the coordinates are derived by considering the relative dimensions along each axis.