Question #299707

Four people are pushing a body with forces:

310N in the direction 045

280N in the direction 135

400N in the direction 80. Calculate sum of vertical and sum of horizontal component respectively.?


1
Expert's answer
2022-02-19T04:56:13-0500

F1F_1 = 310 N,

F2F_2 = 280 N,

F3F_3 = 400 N.

Sum of vertical component:

Fy=F1y+F2y+F3y=F1sin45°+F2sin45°+F3sin80°=3100.7+2800.7+4000.98=811.1 NF_y=F_{1y}+F_{2y}+F_{3y}=F_1sin45\degree+F_2sin45\degree+F_3sin80\degree=\newline 310\cdot 0.7+280\cdot 0.7+400\cdot 0.98=811.1\space N

Sum of horizontal component:

Fx=F1xF2x+F3x=F1cos45°F2cos45°+F3cos80°=3100.72800.7+4000.17=90.7 NF_x=F_{1x}-F_{2x}+F_{3x}=F_1cos45\degree-F_2cos45\degree+F_3cos80\degree=\newline 310\cdot 0.7-280\cdot 0.7+400\cdot 0.17=90.7\space N



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