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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Answer

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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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