Engineering Mechanics
The term 'Centroid' is

The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis
The point of suspension
The same as centre of gravity
None of the listed here

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

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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

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

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