Question

a resultant of two forces acting at a point making angle of 60 is root 13 Newton . when the two forces act at right angle to each other the resultant is root 10 Newton find the magnitude of forces ​

Answer 1

Answer:

let forces be a & b

by vector addition of forces

$\sqrt{ {a}^{2} + {b}^{2} + 2abcos60 } = \sqrt{13} \: (i) \: \: \: \: \sqrt{ {a}^{2} + {b}^{2} } = \sqrt{10} (ii) \: \: from \: i \: and \: ii \: we \: get \: a = 3 \: and \: b = 1$