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Physics

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The only two forces acting on a body have magnitudes F1 and F2 and directions that differ by an angle θ. If the resulting acceleration has a magnitude a, what is the mass of the body?

  • Physics -

    Fx = F1 + F2 cos T
    Fy = F2 sin T

    F = sqrt (Fx^2+Fy^2)

    Fx^2 = F1^2 + 2 F1F2 cos T + F2^2 cos^2 T
    Fy^2 = F2^2 sin^2 T

    sum = F1^2 + 2 F1F2 cos T + F2^2(sin^2T+cos^2T)

    sum = F1^2 + 2 F1 F2 cos T + F2^2
    so
    F = sqrt (F1^2 + 2 F1 F2 cos T + F2^2)
    and
    m = F/a
    =(1/a)sqrt(F1^2 + 2 F1 F2 cos T + F2^2)

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