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Paraphin [41]
3 years ago
15

The forces F 1, F 2, ..., F n acting at the same point P are said to be in equilibrium if the resultant force is zero, that is,

if F 1 + F 2 + ... + F n = 0.
F 1 = i + j, F 2 = i – j, F 3 = 9 i + 2 j

Find the additional force required for the forces to be in equilibrium P.
Physics
2 answers:
fredd [130]3 years ago
6 0
<span>F1 =<1, 1> in this case, consider F1 as u = <u1,u2>=<1,1>
</span><span>F2= <1,-1>
</span><span> F2 as v = <v1,v2>= <1,-1>
</span><span>F3= <9,2>
</span><span> F3 as w =<w1,w2>=<9,2>
</span><span>F4 = <x, y> such that x + u1+v1+w1 =0
or x = -u1-v1-w1
</span><span>so F4 = <11,2>
</span><span> x + u1+ v1 + w1 =0 or x = - u1 -v1-w1 = -1-1-9 =-11
</span><span>so its -11,-2
</span>hope this helps

allochka39001 [22]3 years ago
5 0
For the forces to be in equilibrium:
F 1 + F 2 + F 3 + F 4 = 0
i + j + i - j + 9 i + 2 j + F 4 = 0
11 i + 2 j + F 4 = 0
F 4 = - 11 i + 2 j
F 4 = ( -11, - 2 )
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