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AP EAMCET202119 Aug 2021Morning ShiftPhysicsLaws of MotionActual

One of the rectangular components of a force of 40 N is 20 3 N . What is the other rectangular component?

Options

  1. A10 N
  2. B20 N
  3. C30 N
  4. D25 N

Correct answer

B. 20 N

Step-by-step solution

In a rectangular component of a vector, the two vectors are perpendicular to each other. Given, that resultant of both perpendicular force is, 40   N ,   and if we assume that 20 3   is the horizontal component of force making an angle θ   with resultant force then, ⇒ 40 cos θ = 20 3 ⇒ cos θ = 3 2 ⇒ θ = 30 ° Therefore, the other component or vertical component of force will be, ⇒ 40 sin 30 ° = 20   N

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