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Roman55 [17]
3 years ago
8

Consider two force vectors in the xy-horizontal plane. Suppose a force of 11.7 N pointing along the x-axis is added to a second

force of 18.1 N directed at 55 degrees to the x-axis , also in the horizontal plane. Find the resultant vector for this sum.
Physics
1 answer:
vivado [14]3 years ago
5 0

Answer:

22.08 Ni+14.38 N j

Explanation:

We are given that

Force along x- axis =F_1=11.7i  N

F=18.1 N

\theta=55^{\circ}

F resolved in two components one is along x- axis and other along y- axis

F_x=18.1cos55^{\circ}i=10.38 NiN

F_y=18.1sin55^{\circ}j=14.83 jN

Total force along x- axis=F'_x=F_1+F_x=11.7i+10.38i=22.08i N

Total force along y- axis=F_y=14.38 j N

Resultant vector =F'_xi+F_yj=22.08 Ni+14.38 N j

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