As shown in the figure, two particles, each of mass ' m ' tied at the ends of a light string of…

As shown in the figure, two particles, each of mass 'm' tied at the ends of a light string of length 2a are kept on a frictionless horizontal surface. When the mid point (P) of the string is pulled vertically upwards with a small but constant force F, the particles move towards each other on the surface. Magnitude of acceleration of each particle, when the separation between them becomes 2x is

  1. F2maa2-x2
  2. F2mxa2-x2
  3. F2mxa
  4. F2ma2-x2x

Solution

From the above diagram,

tanθ=a2-x2x2Tsinθ=F and Tcosθ=ma

from the above equations,

a=Fcotθ2m

a=F2m1tanθ=F2mxa2-x2

 

Asked in: AP EAMCET 2018 (25 Apr Shift 1)

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