1.

in the following figure w = 20 n, f = 25 n.. (i) find the value of angle θ.  (ii) find the tension in the string.

Answer» It is obvious from figure that angle between T and W is (180-theta). Again the angle between T and  F will be (90+theta)

So by Lami's theorem

T/sin90 = F/sin(180-theta)= W/sin(90+theta)

=> T=F/sin (theta)=W/cos(theta)

Tsin(theta)= F andTcos(theta)=W

Hence tan(theta)=F/W

So (theta) = arctan(F/W)

And T= √(F^2+W^2) N


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