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Q.

If four forces act at a point ‘O’ as shown in the figure in a plane and if O is in equilibrium then the value of 'θ' & ‘P’ are

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a

150 , 10√2 N

b

450, 10 N

c

750 , 10√2 N

d

900 , 20N

answer is D.

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Detailed Solution

As 'O' is in equilibrium, the net force is zero, along x-axis :10 + 10√2 cos45 = P sinθ .............(1)Along y-axis 10 + P cosθ = 10√2 sin45.................(2)From (2) cosθ = 0 ⇒ θ = 900 and P = 20 N
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If four forces act at a point ‘O’ as shown in the figure in a plane and if O is in equilibrium then the value of 'θ' & ‘P’ are