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Three blocks are arranged on a horizontal table ABCD as shown in the figure. The strings and pulleys are massless and both the pulleys stand vertical. The strings connecting blocks m 1 and m 2 are also vertical and are perpendicular to faces AB and BC which are mutually perpendicular to each other. If m 1 and m 2 are 3 kg and 4 kg respectively. Coefficient of friction between the block m 3 = 10 kg and the surface is

Options

  1. A30 N
  2. B40   N
  3. C50   N
  4. D60   N

Correct answer

C. 50   N

Step-by-step solution

Net force on m 3 = 30 2 + 40 2 = 50 N And limiting friction on m 3 = μ m 3 g = 60 N ∴ System remain in equilibrium and friction on m 3 = 50 N

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