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NEET2018PhysicsLaws of MotionActual

A mass M is hung with a light inextensible string as shown in the figure. Find the tension of the horizontal string.

Options

  1. A2 Mg
  2. B3 M g
  3. C2 Mg
  4. D3 Mg

Correct answer

B. 3 M g

Step-by-step solution

As there is a load at P , so tension in AP and PB will be different. Let these be T ₁ and T ₂ respectively. For vertical equilibrium of P , T ₂ 60^ = Mg i.e., T ₂=2 Mg ...(i) And for horizontal equilibrium of P , T ₁= T ₂ 60^ = T ₂( 3 / 2) ...(i) Substituting the value of T ₂ from Eq. (i), T ₁=(2 Mg ) ( 3 / 2)= 3 Mg

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