Answer
(a) $0.39N$
(b) less than
Work Step by Step
(a) We know that
$\Sigma F_y=2Tsin\theta-F=0$
$\implies F=2Tsin\theta$
We plug in the known values to obtain:
$F=2(2.7)sin 4.1^{\circ}$
$F=0.39N$
(b) From part (a) $F=2Tsin\theta$. This equation shows that force is directly proportional to $\theta$. Thus, if the angle is less than $4.1^{\circ}$, then the required force will be less than that in part (a).
