Question

If maximum and minimum values of the resultant of two forces acting at a point are 7 N and 3 N respectively, The smaller force is equal to

Answer 1

Given,

Maximum value=$7N$

Minimum value $=3N$

So, Let the two forces be A and B,

A/C to given condition,

$|A+B|=7N....1$

$|A-B|=3N....2$

Adding equation 1 and 2 then we get,

$A+B+A-B=10N$

$A=5N$

Put the value in equation 1 then we get,

$A+B=7N$

$B=2N$

Thus, the magnitude of the small force is $2N$