In the figure shown, when the persons A and B exhange their position, then (i) the distance moved by the centre of mass of the system is ____. (ii) the plank moves towards_____. (iii) the distance moved by the plank is _________. (iv) the distacne moved by A with respect to ground is _____. (v) the distance moved by B with respect to ground is _____.

In the figure shown, when the persons A and B exhange their position,

1.	In the figure shown, when the persons A and B exhange their position, then (i) the distance moved by the centre of mass of the system is ____. (ii) the plank moves towards_____. (iii) the distance moved by the plank is _________. (iv) the distacne moved by A with respect to ground is _____. (v) the distance moved by B with respect to ground is _____.
Answer» Correct Answer - (i)zero (ii) right (iii) `0.2 m` (iv) `2.2 m` (v) `1.8 m` (i) CM does not shift (ii) Plank moves towards right. (iii) `Deltax_(cm) = (m_(1)Deltax_(1) + m_(2)Deltax_(2) + M Deltax)/(m_(1) + m_(2) + M) = 0` `rArr 0 = (50(x + 2) + 70(x - 2) + 80x)/(50 + 70 + 80)` `rArr x = 0.2m` (right) (iv) `Deltax_(m_(1)) = x + 2 = 2.2 m` (right) (v) `Deltax_(m_(2)) = x - 2 = -1.8m` (rleft)

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