Two Forces Acting at a point Two forces, F_1^vector and F_2^vector, act at a poi

Question

Two Forces Acting at a point Two forces, F_1^vector and F_2^vector, act at a point. F_1^vector has a magnitude of 9.40 N and is directed at an angle of 55 degree above the negative x-axis in the second quadrant. F_2^vector has a magnitude of 5.60 N and is directed at an angle of 52.2 degree below the negative x-axis in the third quadrant. What is the x component of the resultant force? Express your answers in newtons. What is the y component of the resultant force? Express your answers in newtons. What is the magnitude of the resultant force? Express your answers in newtons.

Explanation / Answer

here,

F1 = 9.4 * ( - cos(55) i + sin(55) j) N

F1 = - 5.39 i + 7.7 j N

F2 = 5.6 * ( -cos(52.2) i - sin(52.2) j)

F2 = - 3.43 i N - 4.42 j N

a)

the x component of the resultant force , Rx = - 8.82 N

b)

the y component of the resultant force , Ry = 3.28 N

c)

the magnitude of R , |R| = sqrt(8.82^2 + 3.28^2)

|R| = 9.4 N

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