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In Fig. A-3, a force F passing through C produces a clockwise moment of 600 ft-lb about A and a counterclockwise moment of 300 ft-lb about B. Determine the moment of F about O.​

Sagot :

The moment of the force about the zero origin (0,0) is 670.82 ft-lb.

The given parameters:

  • Clockwise moment about A = 600 ft-lb
  • Counterclockwise moment about B = 300 ft-lb

The moment of the force about the zero origin (0,0) is calculated as follows;

[tex]P^2 = P_y^2 + P_x^2\\\\[/tex]

where;

[tex]P_y[/tex] is the clockwise moment

[tex]P_x[/tex] is the counterclockwise moment

[tex]P = \sqrt{600^2 + 300^2} \\\\P = 670.82 \ ft-lb[/tex]

Thus, the moment of the force about the zero origin (0,0) is 670.82 ft-lb.

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