Verified Solution • 2025–26 Session moderate

QJEEM22Phc53e: JEE Main 2022 Physics - Class 11 JEEM22Phc53e Solution: Two blocks of masses 10 kg and 30 kg are placed on the same…

Two blocks of masses 10 kg and 30 kg are placed on the same straight line with coordinates (0, 0) cm and (x, 0) cm respectively. The block of 10 kg is moved on the same line through a distance of 6 cm towards the other block. The distance through which the block of 30 kg must be moved to keep the position of centre of mass of the system unchanged is :

Multiple Choice Options

  • A 4 cm towards the 10 kg block
  • B 2 cm away from the 10 kg block
  • C 2 cm towards the 10 kg block
  • D 4 cm away from the 10 kg block

Step-by-Step Verified Solution

For COM to remain unchanged,

m1x1 = m2x2

⇒\Rightarrow 10 ×\times 6 = 30 ×\times x2

⇒\Rightarrow x2 = 2 cm towards 10 kg block.

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