Question

the forces whose magnitude are in the ratio 3 ratio 5 give a resultant of 35 Newton if the angle between them is 60 degree find the magnitude of each force

Answer 1

Let us suppose the first force to be 3x and the other force to be 5x.

Now resultant can be given by sqrt [a*a + b*b + 2abcos(angle between a and b)] paralleogram law

so in this case the resutant becomes = sqrt [9x*x + 25x*x + 15x*x] = 35 N it is given

hence, 7x = 35

hence x = 5

so the values of the forces are 15N and 25N