Center of MassHard

Question

Two particle of mass m each are tied at the ends of a light string of length 2a. Thewhole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ′a′ from the center P (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but constant force F. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2x is
         

Options

A.
B.
C.
D.

Solution

         
2T sin θ = F
T cos θ = mA
2 tan θ =

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