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Two forces F̅ and -3 F̅ act at a Perpendicular distance ‘d’ from each other. This is equivalent to which one of the following ?

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UP TGT Science 2021 Official Paper
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  1. Net linear force -2 F̅ only
  2. Net linear force zero only
  3. A net couple of moment 2Fd only
  4. A net linear force of -2 F̅ and a net couple of moment Fd

Answer (Detailed Solution Below)

Option 4 : A net linear force of -2 F̅ and a net couple of moment Fd
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Detailed Solution

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Concept:

A force can be transferred over a distance by replacing it with equal force and a moment, as shown in fig

F1 Shraddha Utkarsh 30.11.2021 D3

Calculation:

Given:

F1 Shraddha Utkarsh 30.11.2021 D4

F1 Shraddha Utkarsh 30.11.2021 D5

F1 Shraddha Utkarsh 30.11.2021 D6

Hence the equivalent of the system is a net linear force of -2 F̅ and a net couple of moment Fd

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