I need help understanding part C and D. Cant seem to get the correct answer. Her

Question

I need help understanding part C and D. Cant seem to get the correct answer. Here are the answers provided by my professor: (a) 123.1636 N; (b) 77.8913 N; (c) 179.5547 N; (d) 1.2075 rad. Please show all work so that I can understand. Thanks!

Three ma (mi 5800 kg, m2 3900 kg, m3 7500 kg) each are placed as shown in the figure. The distance between m1 and m2 is 0.35 cm. The O m3 distance between m2 and m3 is 0.50 cm. In your 00.35 calculations use the system of coordinates with mass m1 at the origin (see the figure) m1 (a) the magnitude of the gravitational force (in N) on mass mi due to mass m-7 m m2 (1 point) (b) the magnitude of the gravitational force (in N) on mass m1 due to mass 005m m3, (1 point) (c) the magnitude of the net gravitational force (in N) on mass mi due to the other two masses; (2 points) (d) the direction of the net gravitational force from part (c) (the angle between the net force and x-axis in radians) (2 points)

Explanation / Answer

as we know force on m1 due to m2 is 123.1636N j

as we know force on m1 due to m3 is77.8913N

force on m1 due to m3=77.8913cosx i+77.8913sinx j

where x=tan-1(0.5/0.35)=55

force on m1 due to m3=44.677j+63.8i

net force=167.8402j+63.8i

net force=179.5547N

directionn=tan-1(167.84/63.8)=69.187 degree=1.2075 rad by multiplying degree with pi/180.

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