Numerical - X &Y components for a force system

Q.  What are the X and Y components of point P for the force system shown below?
- Published on 18 Sep 15
Force-system-for-given-point.png


a. X = 186.00 N, Y = 464 N
b. X = 464.23 N, Y = 185 N
c. X = 466.12 N, Y = -180 N
d. None of the above

ANSWER: X = 464.23 N, Y = 185 N

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    Discussion

  • Sravanthi   -Posted on 14 Dec 15
    Given: Point P (10, 4)

    Solution:

    The angle of force with horizontal is given as

    tan α = 4 / 10

    α = tan -1 (0.4)

    α = 21.80°

    x-component = 500 cos α

    = 500 cos 21.80 = 464.24 N

    y-component = 500 sin α

    = 500 sin 21.80 = 185 N

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