Q136 / 155 · WBJEE 2024 · Physics

Figure
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
    $\left(-\frac{b}{6},-\frac{a}{6}\right)$
  • Correct answer
    D
    $\left(-\frac{a}{6},-\frac{b}{6}\right)$

Solution

Hint: Required $\vec{r}=-\frac{m_1}{m_2}\left(\vec{r}_{1 \mathrm{~cm}}\right)$ $m_2=3 m_1$

Hence, the correct answer is option: 'D'.

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