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JEE Main202225 Jul 2022Evening ShiftPhysicsLaws of MotionActual

For a free body diagram shown in the figure, the four forces are applied in the ' x ' and ' y ' directions. What additional force must be applied and at what angle with positive x -axis so that the net acceleration of body is zero?

Options

  1. A2   N , 45 °
  2. B2   N , 135 °
  3. C2 3   N , 30 °
  4. D2   N , 45 °

Correct answer

A. 2   N , 45 °

Step-by-step solution

Let additional force required be F → . Vector sum of the four forces and additional force. F → + 5 i ^ - 6 i ^ + 7 j ^ - 8 j ^ = 0 Force required to make net acceleration zero F → = i ^ + j ^ Therefore, the required force is F → = 1 2 + 1 2 = 2   N Angle with x -axis: tan θ = y   component   x   component   = 1 1 Thus, θ = 45 °

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