X-Intercept of a Force

Problem 260 - 261 | Resultant of Non-Concurrent Force System

Problem 260
The effect of a certain non-concurrent force system is defined by the following data: ΣFx = +90 kN, ΣFy = -60 kN, and ΣMO = 360 kN·m counterclockwise. Determine the point at which the resultant intersects the x-axis.
 

Resultant of Non-Concurrent Force System

The resultant of non-concurrent force system is defined according to magnitude, inclination, and position.
 

The magnitude of the resultant can be found as follows

$R_x = \Sigma F_x$

$R_y = \Sigma F_y$

$R = \sqrt{{R_x}^2 + {R_y}^2}$

 

233 A force creating counterclockwise and clockwise moments

Problem 233
In Fig. P-231, a force P intersects the X axis at 4 ft to the right of O. If its moment about A is 170 ft·lb counterclockwise and its moment about B is 40 ft·lb clockwise, determine its y intercept.
 

Three points in XY plane (A, B, and O)

 

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