Two insects ‘A’ and ‘B’ are at rest on a plank. B is at middle of the plank and A is at the left end of the plank. There is no friction between plank and horizontal surface. System (two insects + plank) is initially at rest and masses are given in the figure. A and B start moving such that the position of B remains fixed w.r.t. ground and they meet. The point where A meet B is located at

Engineering

Physics

Center of Mass

Relative Motion

Momentum and Energy Conservation for System of Particles

Question

Two insects ‘A’ and ‘B’ are at rest on a plank. B is at middle of the plank and A is at the left end of the plank. There is no friction between plank and horizontal surface. System (two insects + plank) is initially at rest and masses are given in the figure. A and B start moving such that the position of B remains fixed w.r.t. ground and they meet. The point where A meet B is located at

the middle of the plank

the right end of the plank

none of these

30 cm from the left end of the plank

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m_A Δx_A + m_B Δx_B + m_C Δx_C = 0
2 (60) + 2(0) + 2 (–x) = 0 ⟹ x = 60 cm.