Problem 271 | Resultant of Non-Concurrent Force System

Problem 271
The three forces in Fig. P-270 create a vertical resultant acting through point A. If T is known to be 361 lb, compute the values of F and P.
 

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

 

Solution 271

 

Comments

P should be 492.53 lb
The y component of F should be 3/√10 and not 2/√10
Py+Ty−Fy=R
P(2/√5)+T(2/√13)−F(3/√10)=R
P(2/√5)+361(2/√13)−253.29(3/√10)=400.49
P=492.53 lb

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