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Q.

Which of the following sets of forces acting simultaneously on a particle keep it in equilibrium                               

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a

3N, 5N, 10N

b

5N, 8N, 1N

c

4N, 7N, 12N

d

2N, 6N, 5N

answer is C.

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Detailed Solution

gf – greatest force; sgf – second gf

3,5,10

gf10,sgf5

105=5

5>3

4,7,12

gf12,sgf7                        

127=5

5>4

2,6,5

gf6,sgf5

65=1                              

5>4

5,8,1

gf8,sgf5

85=3

3>1

Their difference must be less than the third side in triangle. Then there will be equilibrium.

The set of forces can possible to make triangle, those can keep the particle in equilibrium.

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