Question
Asked Sep 6, 2019

Two forces F1 and F2 with magnitudes 14 lb and 12 lb, respectively, act on an object at a point P as shown in the figure. (Give your answers correct to one decimal place.)

 

(a) Find the resultant force F acting on P
 i +  j 

(b) Find the magnitude of F and its direction. 
|F| =  lb 
θ =  °

F A
45°
30°
P
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F A 45° 30° P

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Expert Answer

Step 1

(a) Force 1

(cos i+(sin e
14(-cos 45+14 (sin 45' )
142
14
2
2
-- 72i+ 72j
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(cos i+(sin e 14(-cos 45+14 (sin 45' ) 142 14 2 2 -- 72i+ 72j

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Step 2

Force 2

F-12(cos 30) 12(sn 30* )i
3
i+12
=12
2
63 16
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F-12(cos 30) 12(sn 30* )i 3 i+12 =12 2 63 16

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Step 3

The resultant force ...

F(-7i7)(65i-6)
-(-7263i(72-6)i
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F(-7i7)(65i-6) -(-7263i(72-6)i

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