Answer
$F_V=2.40w$
Work Step by Step
$\sum\tau=0$
$(0.48m)\sin(12.0^o)F_M-(0.72m)\sin(45^o)(w_H)-(0.48m)\sin(45^o)(w_A)-(0.36m)\sin(45^o)(w_T)=0$
$F_M=1.98w$
$F_{Vy}=F_M\sin(33^o)+w_H+w_A+w_T=1.73w$
$F_{Vx}=F_M\cos(33^o)=1.66w$
$F_V=\sqrt{F_{Vy}^2+F_{Vx}^2}=2.40w$