Consider three force vectors F1, F2, and F3. The vector F1 has magnitude F1 = 40

Question

Consider three force vectors F1, F2, and F3.
The vector F1 has magnitude F1 = 40 N and direction= 27? The vector F2 has mag nitude F2 = 27 N and direction = 49? and the vector F3 has magnitude F3 = 11 N and direction = 130?.
All the direction angles are measured from thepositive x axis: counter-clockwise for > 0 andclockwise for < 0.
A) What is the magnitude F of the net force vector F = F1+ F2 + F3? Answer in units of N. B) What is the direction of the net force vector F?State your answer as an angle between 180? and +180?. Answer in units of ?.
Consider three force vectors F1, F2, and F3.
The vector F1 has magnitude F1 = 40 N and direction= 27? The vector F2 has mag nitude F2 = 27 N and direction = 49? and the vector F3 has magnitude F3 = 11 N and direction = 130?.
All the direction angles are measured from thepositive x axis: counter-clockwise for > 0 andclockwise for < 0.
A) What is the magnitude F of the net force vector F = F1+ F2 + F3? Answer in units of N. B) What is the direction of the net force vector F?State your answer as an angle between 180? and +180?. Answer in units of ?. Consider three force vectors F1, F2, and F3.
The vector F1 has magnitude F1 = 40 N and direction= 27? The vector F2 has mag nitude F2 = 27 N and direction = 49? and the vector F3 has magnitude F3 = 11 N and direction = 130?.
All the direction angles are measured from thepositive x axis: counter-clockwise for > 0 andclockwise for < 0.
A) What is the magnitude F of the net force vector F = F1+ F2 + F3? Answer in units of N. B) What is the direction of the net force vector F?State your answer as an angle between 180? and +180?. Answer in units of ?.

Explanation / Answer

The net horizontal force is Fx =F1*cos270 + F2 cos490 + F3cos1300 The net verticle force is Fy = F1*sin270- F2 sin490 + F3 sin1300 Then the net force is F = ( Fx2 +Fy2 )1/2                                     =------------- N The angle with +ve x- axisis     = tan-1 ( Fy/Fx)                                                          =--------- degrees ( with +ve x- axis )                                     =------------- N The angle with +ve x- axisis     = tan-1 ( Fy/Fx)                                                          =--------- degrees ( with +ve x- axis )

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