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Two forces equal to P and 2P newton act on a particle.If the first be doubled and the second be increased by 20 newton,the direction of the resultant is unaltered. Find the value of P.

Two forces equal to P and 2P newton act on a particle.If the first be doubled and the second be increased by 20 newton,the direction of the resultant is unaltered. Find the value of P.

Grade:11

1 Answers

Arun
25750 Points
6 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

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