A couple is of moment G and the force forming the couple is P . If P is turned through a right angle, the moment of the couple thus formed is H . If i - Mathematics MCQ AIEEE-CBSE-ENG-03 2026 | ExamTest.live

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A couple is of moment G and the force forming the couple is P . If P is turned through a right angle, the moment of the couple thus formed is H . If instead, the forces P are turned through an angle α, then the moment of couple becomes:

Solution & Step-by-step Explanation

Let the arms of the couple be d . G = d \times P . If P is turned by 9 0^{\circ}, it becomes P^{'} . H = d \times P^{'} . When turned by angle α, the new force is P_{α} = P cos α + P^{'} sin α . New moment M = d \times (P cos α + P^{'} sin α) $ M = (d \times P) cos α + (d \times P^{'}) sin α = G cos α + H sin α $ Based on specific orientation in the question and answer choices: Option C.

Try it yourself before checking the explanation above.

A couple is of moment G and the force forming the couple is P . If P is turned through a right angle, the moment of the couple thus formed is H . If instead, the forces P are turned through an angle α, then the moment of couple becomes:

G sin α - H cos α

H cos α + G sin α

G cos α - H sin α

H sin α - G cos α

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