Question

two forces p and 2p newton action a particle if the first be doubled and the second be increased by 20 N, the direction of resultant is unaltered, Find the value of P.​

Answer 1

Answer:

Let the resultant make angle β with the force P.

Infirstcase,tanβ=

P+2Pcosθ

2Psinθ

Insecondcase,tanβ=

2P+(2P+20)cosθ

(2P+20)sinθ

2P+(2P+20)cosθ

(2P+20)sinθ

=

P+2Pcosθ

2Psinθ

[∵

b

a

=

d

c

=

b−d

a−c

]

weget

2P=20

P=10N