Question:
two forces whose magnitude are in the ratio 3:5 give a resultant of 35N. If the angle between them be 60 calculate the magnitude of each force
Answer:
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)]
So here that is, sqrt [9x*x + 25x*x + 15x*x] = 35 N
So, 7x = 35
Or, x = 5
Thus, the values of the forces are 15N and 25N.
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