Centre of Mass | JEE Main 2025 Solution

JEE MAIN 2025

28-01-2025 SHIFT-1

Question

The centre of mass of a thin rectangular plate (fig - x) with sides of length a and b, whose mass per unit area $(\sigma )$ varies as $\sigma = \frac{{{\sigma _0}x}}{{ab}}$ (where ${\sigma _0}$ is a constant), would be ____.

Select the correct option:

$\left( {\frac{1}{3}a,\frac{{\;{\rm{b}}}}{2}} \right)$

$\left( {\frac{2}{3}a,\frac{2}{3}b} \right)$

$\left( {\frac{2}{3}a,\frac{{\;{\rm{b}}}}{2}} \right)$

$\left( {\frac{a}{2},\frac{{\;{\rm{b}}}}{2}} \right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Hard

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