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P,Q and R are three forces acting simult...

P,Q and R are three forces acting simultaneously on a particle .`vec(S)` is the vector sum, of the three forces show that if `vec(S)` = 0 , the vector representing these forces form a triangle.

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To prove that if the vector sum of three forces \( \vec{P}, \vec{Q}, \vec{R} \) acting on a particle is zero, then these vectors form a triangle, we can follow these steps: ### Step 1: Understand the Given Information We are given three forces \( \vec{P}, \vec{Q}, \vec{R} \) acting on a particle. The vector sum of these forces is represented as: \[ \vec{S} = \vec{P} + \vec{Q} + \vec{R} \] It is given that \( \vec{S} = 0 \). ...
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Knowledge Check

  • Let vecF be a force acting on a particle having positon vector vecr. Let vectau be the torque of this force about the origin then

    A
    `vecr.vectau gt 0` and `vecF.vectau lt 0`
    B
    `vecr.vectau=0` and `vecF.vectau=0`
    C
    `vecr.vectau=0` and `vecF.vectau ne0`
    D
    `vecr.vectau ne0` and `vecF.vectau=0`
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