# Two forces P & 2P act on the particle if the first is doubled & the second increased by 20N.The direction of the resultant remains unchanged.Find the value of P.

Vikas TU
14149 Points
10 years ago

Net Force F1 = underroot(P2 + 4p2 + 4p2) = underroot(9p2)

F2 = underroot(4p2 + (2p + 20)2 + 4p.(2p+20)) = underroot(16p2 + 160p +400)

Now, F1 = F2

7p2 +160p +400 = 0

P = - 40/28 = -10/7 N

and

P = - 100 N

Where ''-'' minus sign indicates that the force is acting in opposite direction.

plz approve!

Bevkoof Singh
43 Points
10 years ago

20

SOURAV MISHRA
37 Points
10 years ago

since the direction of the resultant remains unchanged the angle which it makes with either of the forces remains unchanged.

so we can apply the result of similarity of triangles to get the result. but try to draw the vector triangles yourself.

P/2P = 2P/(2P + 20).

this gives P = 10N.

abc
11 Points
6 years ago
u can refer SL Arora for this answer................anyways P=10.................................................................................................................................
ankit singh