If two forces of equal magnitude 4 units acting at a point and the ang – InterviewSolution

InterviewSolution

1.	If two forces of equal magnitude 4 units acting at a point and the angle between them is `120^(@)`, then find the magnitude of direction of the sum of the two vectorsA. `4, theta=tan^(-10(1.73)`B. `4, theta=tan^(-1)(0.73)`C. `2, theta=tan^(-1)(1.73)`D. `6, theta^(-1)(0.73)`
Answer» (a) `\|R\|=\|a+b\|=sqrt(4^(2)+4^(2)+2(4)cos 120^(@))` `\|R\|=4` Let `theta=` angle between `a+b` with `x`-axis `theta=tan^(-1)((4sin (120^(@)))/(4+4cos(120^(@))))="tan"^(-1)(3.646)/2=tan^(-1)(1.73)`

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