Trigonometry

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a 100 pound box hangs between two ropes T1 and T2 the angle at the top of T1 is 28 degrees and the angle at the top of T2 is 35 degrees. what does T1 and T2 equal? Must show work

  • Trigonometry -

    It would be a lot easier if you draw the figure.
    What you would do is just a summation of Forces. Since the system is at equilibrium (forces cancel out), the sum of forces should be zero.
    Sum of forces at x-direction:
    (T1)*cos(28) - (T2)*cos(35) = 0

    Sum of forces at y-direction:
    (T1)*sin(28) + (T2)*sin(35) - 100 = 0

    Now you have two equation, two unknowns. Solve for T1 and T2. Units in pound-force.

    Hope this helps :3

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