Question

Sum of two forces is 8 kg wt. The magnitude of the resultant of the two forces is 4 kg wt and it is at right angles to the smaller force. Find the forces

Answer 1

let forces be A and B

A is smaller and B is bigger

since resultant is 4 they should be at obtuse angle.

A+B =8

and according to triangle law of vector addition ,

B is hypotenuse and A and the resultant are base and perpendicular of the triangle.

so,. A²+ 4²= B²

B²-A² = 16

(B-A)(B+A) = 16

and B+A is 8. so B-A is 2

therefore solving these equations we get

A=3

B=5.

this is the answer to your question.

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