Engineering Mechanics
The resultant of the two forces ‘P’ and ‘Q’ is ‘R’. If ‘Q’ is doubled, the new resultant is perpendicular to ‘P’. Then

None of the listed here
Q = 2R
Q = R
P = Q

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Engineering Mechanics
Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

Their algebraic sum is zero
The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point
The algebraic sum of their moments about any point in their plane is zero
Their lines of action are at equal distances

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Engineering Mechanics
The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

y = (gx²/2u² cos²α) - x. tanα
y = (gx²/2u² cos²α) + x. tanα
y = x. tanα + (gx²/2u² cos²α)
y = x. tanα - (gx²/2u² cos²α)

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