P, Q and R are three coplanar forces acting at a point and are in equilibrium. Given `P= 1.9318 kg-wt, sin theta_(1)= 0.9659`, the value of R is `(in kg-wt)`

Options

A. 0.9659
B. 2
C. 1
D. `1//2 `

Answer

C

Explanation

Using Lami's theorem , we have
`(P)/(sin theta_(1)) = (R)/(sin 150^(@)) implies (P)/(sin theta_(1)) = (R)/(sin (180^(@) - 30^(@)))`
`implies (1.9318 "kg wt")/(0.9659) = (R)/(1//2)`
`implies R = (1.9318)/(0.9659) xx (1)/(2)` kg wt = 1 kg wt .