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If two forces of equal magnitude 4 units...

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 vectors

A

`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)`

Text Solution

Verified by Experts

(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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Knowledge Check

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