T wo forces F1 and F2 are applied as shown in Figure 12.21. The resultant R has
ID: 1433762 • Letter: T
Question
Two forces F1 and F2 are applied as shown in Figure 12.21. The resultant R has a magnitude of 500 Lbf and acts along the positive x-axis. Determine the magnitudes of F1 and F2.
Preview File Edit View Go Tools Window Help O 9 t a 17% , Wed 7:30 PM Q IE 0 0 0 & Statics Problems-Pagel.pdf (1 page ) – Edited Da Q Que ZD 5 [ a O Figure 12.21 f, Cost Sum 4 12.13 Two forces magnitude a magnitudes 12.14 Force F is a (a) Determ (b) Determ. 45 R = 5.0(103) lbf 30 Sl For problems xycoordinate syst 12.25. Points A an Calculate the mon clockwise momen HEAD SOOOOOOPS PADX iOS 4G ONL LEAGUEBELLExplanation / Answer
Ans:- F1 is associated with angle (assumed positive) and F2 is associated with (assumed negative). Then these two conditions are true:
Along X-axis
F1*cos + F2*cos = R .......................1
Along Y-axis
F1*sin + F2*sin = 0 ...................2
F1*cos45 + F2*cos(-30) = 500
F1*0.707 + F2 0.866 = 500 ................3
F1*sin45 + F2 * sin (-30) = 0
F1 *0.707 – F2 * 0.5 = 0 ................4
Eqn3 – eqn 4 we get
F2 = 366lbf
Put this in eqn4 we get
F1 = 258.86lbf
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