Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines

Three forces are applied to a square plate as shown in figure: Find the point of

Three forces are applied to a square plate as shown in figure: Find the point of application of the resultant force, if this point is taken on the side \( B C \)

  • A. The force is applied at the midpoint of the side \( B C \).
  • B. At point B
  • C. At point \( c \)
  • D. cannot be found

Step-by-step solution

To find the point of application of the resultant force on side BC, we calculate the net force vector and the net torque about a point on BC. By summing moments of the individual forces about point B or C and equating to the moment of the resultant, we solve for the distance from B. In typical configurations of such problems (e.g., forces at corners), the resultant acts at the midpoint of BC. This is consistent with the given options.
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