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The resultant of the force system acting on the rectangular plate shown in figure. Also find the point where the resultant will cut the x- axis and y-axis. Also shift the resultant to point?
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Resultant of Force System


  • Firstly, we need to resolve each force into its x and y components.

  • Then, we can find the sum of all x components and the sum of all y components.

  • We can then use the Pythagorean theorem to find the magnitude of the resultant force.

  • The angle that the resultant force makes with the positive x-axis can be found using the inverse tangent function.



Point Where Resultant Cuts the X and Y-Axis


  • We can use the formula for finding the point of intersection of two lines to find where the resultant force cuts the x and y axis.

  • For the x-axis, we can set y=0 and solve for x. This will give us the x-coordinate of the point where the resultant force cuts the x-axis.

  • For the y-axis, we can set x=0 and solve for y. This will give us the y-coordinate of the point where the resultant force cuts the y-axis.



Shifting the Resultant Force to a Point


  • To shift the resultant force to a new point, we can use the principle of moments.

  • The moment of a force about a point is defined as the product of the magnitude of the force and the perpendicular distance from the point to the line of action of the force.

  • We can find the moments of all the forces about the original point where the resultant force was calculated.

  • We can then use the principle of moments to find the new point where the shifted resultant force will act.

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The resultant of the force system acting on the rectangular plate shown in figure. Also find the point where the resultant will cut the x- axis and y-axis. Also shift the resultant to point?
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