Infinite number of bricks are placed one over succeeding brick having half the length and breadth of its preceding bricks and the mass of each succeeding bricks being (1/4)th of the preceding one. Taking O as the origin, the x coordinate of centre of mass of the system of bricks is [Take positive x-axis towards right from the origin O.]

Engineering

Physics

Question

Infinite number of bricks are placed one over succeeding brick having half the length and breadth of its preceding bricks and the mass of each succeeding bricks being (1/4)^th of the preceding one. Taking O as the origin, the x coordinate of centre of mass of the system of bricks is [Take positive x-axis towards right from the origin O.]

$- \frac{2 a}{7}$

$- \frac{a}{7}$

$\frac{3 a}{7}$

$- \frac{3 a}{7}$

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$x_{com} = \frac{- [m \times \frac{a}{2} + \frac{M}{4} \times \frac{a}{4} + \frac{M}{16} \times \frac{a}{8} + . ...... \infty]}{M + \frac{M}{4} + \frac{M}{16} + . ..... \infty} = \frac{- 3 a}{7}$ .