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Problem 270 | Resultant of Non-Concurrent Force System

Problem 270
The three forces shown in Fig. P-270 are required to cause a horizontal resultant acting through point A. If F = 316 lb, determine the values of P and T. Hint: Apply MR = ΣMB to determine R, then MR = ΣMC to find P, and finally MR = ΣMD or Ry = ΣY to compute T.
 

270-271-forces-in-xy-space.gif

 

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Problem 269 | Resultant of Non-Concurrent Force System

Problem 269
Repeat Prob. 268 is the resultant is 390 lb directed down to the right at a slope of 5 to 12 passing through point A. Also determine the x and y intercepts of the missing force F.
 

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Problem 268 | Resultant of Non-Concurrent Force System

Problem 268
The resultant of four forces, of which three are shown in Fig. P-268, is a couple of 480 lb·ft clockwise in sense. If each square is 1 ft on a side, determine the fourth force completely.
 

Three forces in Planar Space

 

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Problem 267 | Resultant of Non-Concurrent Force System

Problem 267
The Howe roof truss shown in Fig. P-267 carries the given loads. The wind loads are perpendicular to the inclined members. Determine the magnitude of the resultant, its inclination with the horizontal, and where it intersects AB.
 

Howe roof truss

 

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Problem 266 | Resultant of Non-Concurrent Force System

Problem 266
Determine the resultant of the three forces acting on the dam shown in Fig. P-266 and locate its intersection with the base AB. For good design, this intersection should occur within the middle third of the base. Does it?
 

Gravity Dam

 

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Problem 265 | Resultant of Non-Concurrent Force System

Problem 265
Compute the resultant of the three forces shown in Fig. P-265. Locate its intersection with X and Y axes.
 

Three forces in XY plane

 

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Problem 264 | Resultant of Non-Concurrent Force System

Problem 264
Completely determine the resultant with respect to point O of the force system shown in Fig. P-264.
 

264-four-forces.gif

 

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Problem 263 | Resultant of Non-Concurrent Force System

Problem 263
Determine the resultant of the force system shown in Fig. P-263 and its x and y intercepts.
 

Three non-concurrent non-parallel forces in xy-plane

 

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Problem 262 | Resultant of Non-Concurrent Force System

Problem 262
Determine completely the resultant of the forces acting on the step pulley shown in Fig. P-262.
 

Unbalanced forces in two-step pulley
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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.
 

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