Question

Two vectors having magnitude P and 2P act on a particle. if the first vector is doubled and 20 is added to the second vector the direction of resultant does not change .Find value of P.

Answer 1

Answer:

Explanation:

Let the resultant make angle β    with the force P.

Infirstcase,tanβ=P+2Pcosθ2Psinθ​Insecondcase,tanβ=2P+(2P+20)cosθ(2P+20)sinθ​2P+(2P+20)cosθ(2P+20)sinθ​=P+2Pcosθ2Psinθ​[∵ba​=dc​=b−da−c​]weget2P=20P=10N