Question #168381

The boy is shown pushing a bullet into the grave, exerting an F force on it. Determine the forces F and the tensile force exerted by the rope on the ball, when it is known that G = 200 N. The appropriate angles are shown 40 ° and 50 °. It is known that: cos40 ° = 0.77 and cos50 ° = 0.64


1
Expert's answer
2021-03-04T11:55:15-0500

The force of tension exerted by the rope on the ball is equal to G, or 200 N.



The other forces are


F1cos40F2cos50=0,F1sin40+F2sin50G=0.F_1\text{cos}40-F_2\text{cos}50=0,\\ F_1\text{sin}40+F_2\text{sin}50-G=0.

The solution of this system is


F1=129 N,F2=153 N.F_1=129\text{ N},\\ F_2=153\text{ N}.



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