Two blocks of masses 10 kg and 30 kg are placed on x - axis. The first mass is moved on the axis by a distance of 2 cm. By what distance should the second mass be moved to keep the position of centre of mass unchanged.

Two blocks of masses 10 kg and 30 kg are placed on x - axis. The first

1.	Two blocks of masses 10 kg and 30 kg are placed on x - axis. The first mass is moved on the axis by a distance of 2 cm. By what distance should the second mass be moved to keep the position of centre of mass unchanged.
Answer» Solution :mass of the first block, `m_(1)`= 10kg , mass of the second block, `m_2` = 30 kg `m_(1)(Deltax_(1)) =-m_(2)(Deltax_(2)) , Deltax_(2) = -m_(1)/m_(2) (Deltax_(1)) =-10/30(2) =-2/3 cm` Therefore the second block should be moved in opposite direction to the first mass through a DISTANCE of `2/3` cm to keep the POSITION of CENTRE of mass UNCHANGED.