The uniform bar weighs 45 N and is subjected to the forces as shown. Find the magnitude, location and direction of the force needed to keep the bar in equilibrium
"\\Delta F_x=60+70+45-50-40=85~N,"
"\\Delta F_y=69~N,"
"F=\\sqrt{\\Delta F_x^2+\\Delta F_y^2}=110~N,"
"\\alpha=\\arctan\\frac{\\Delta F_y}{\\Delta F_x}=39\u00b0."
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