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Three forces of magnitude 15N, 10N and 5N act on a particle in the direction which make 120° with one another. Find the resultant and the angle the resultant makes with the x-axis?

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  1. 15cis0° + 10cis120° + 5cis240° = 5√3 cis30°

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    oobleck
  2. Fr = 15N[0o] + 10N.[120o] + 5N.[240o]. = Resultant force.
    X = 15*Cos0 + 10*Cos120 + 5*Cos240 = 7.5 N.
    Y = 15*sin0 + 10*sin120 + 5*sin240 = 4.33 N.

    Fr = 7.5 + 4.33i = 8.66N.[30o] CCW. = Resultant force.

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