the resultant of two forces p and q=r, if q is doubled the new resultant is perpendicular to prove. prove that q=r
Answers
Answer:
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Answer:
Square of Resultant R is R^2 = P^2 + Q^2 + 2PQ cos α,
α is the angle between P and Q.
tan θ = Q sin α / ( P + Q cosα), θ is the angle between R and P.
If Q is doubled , and if the angle between P and the new resultant S is 90 °,
tan 90 = 2Q sin α / ( P + 2Q cosα),=infinity.
Therefore, P = - 2Q cosα.
But R^2 = P^2 + Q^2 + 2PQ cos α,
R^2 = P^2 + Q^2 - P^2
R^2 = Q^2
R = Q ( in magnitude)
Explanation:
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