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JEE Main2018PhysicsLaws of MotionActual

Two masses m 1 = 5 kg and m 2 = 10 kg , connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is 0 . 15 . The minimum weight m that should be put on top of m 2 to stop the motion is:

Options

  1. A10 .3   kg
  2. B18 .3   kg
  3. C27 .3   kg
  4. D43 .3   kg

Correct answer

C. 27 .3   kg

Step-by-step solution

T = 5 g ⇒ μ 10 + m ≥ 5 g ⇒ 10 + m ≥ 5 0.15 ⇒ m ≥ 23.33   k g ⇒ m = 27.3   kg .

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