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KHW 1 Problem 2.5 The vertical force F acts downward at A on the two-membered fr

ID: 1884333 • Letter: K

Question

KHW 1 Problem 2.5 The vertical force F acts downward at A on the two-membered frame. (Figure 1) Part A Determine the magnitude of the component of F drected along the axis of AB. Set F= 350 N Express your answer to two significant figures and include the appropriate units. 25621778 N Figure 1of 1 incorrect; Try Again; 7 attempts remaining Part B Determine the magnitude of the component of F directed along the axis of AC Express your answer to two significant figures and include the appropriate units FAC Value Units Submit

Explanation / Answer

Consider the component of forces along the axes AB and AC at joint A by using parallelogram law.

The parallelogram is formed by drawing a line from the head of force FAC that is parallel to FAB and another line from the head of FAB that is parallel to FAC

we apply sine rule in the left triangle,

FAB / sin60 = FAC/sin45 = 350/sin75

part A

first we take ,

FAB / sin60 = 350/sin75

FAB = 314.09 N

part B

Now we take ,

FAC/sin45 = 350/sin75

FAC = 256.45 N