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Consider an object kept at the centre, in the X Y -plane, on which five coplanar forces act as shown in the figure. The resultant force on the object is

Options

  1. A6.5 ~N , 330^
  2. B6.5 ~N , 300^
  3. C6.5 ~N , 30^
  4. D5.7 ~N , 331^

Correct answer

A. 6.5 ~N , 330^

Step-by-step solution

The total force in X -direction, aligned & F_x=15 60^ +19-11 30^ -16 45^ & F_x=5.66 ~N aligned The total force in Y -direction, aligned & F_y=-22+15 60^ +16 45^ -11 30^ & F_y=-3 196 ~N aligned Then, resultant force aligned R & = F_x^2+F_y^2 = (5 66)^2+(3 196)^2 R & =6 5 ~N aligned Direction of resultant, aligned & & =F_y / F_x= -3 196 5 66 & & =330^ aligned

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