Question

Two forces of magnitude A and B are acting at right angle to each other.The magnitude of their resultant is ​

Answer 1

Answer:

√A^2+B^2

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Answer 2

Answer:

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Explanation:

Two forces of magnitude A and B taken are acting at right angle to each other. The magnitude of their resultant is √(A²+B²)

Given:

Two forces of magnitude A and B are acting at right angle

To find out:

Magnitude of the resultant

Solution:

We know that the resultant RR of two forces PP and QQ acting at an angle \thetaθ is given by

\boxed{R=\sqrt{P^2+Q^2+2PQ\cos\theta}}R=P2+Q2+2PQcosθ

Therefore, according to the question

P=AP=A

Q=BQ=B

\theta=90^\circθ=90∘

R=\sqrt{A^2+B^2+2AB\cos 90^\circ}R=A2+B2+2ABcos90∘

\implies R=\sqrt{A^2+B^2}⟹R=A2+B2

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Know More:

Q: The maximum and minimum magnitudes of the resultant of two forces are 17 newton and 7 newton respectively, if these two forces are acting at right angle to each other, then the value of resultant of these forces in Newton will be:

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