Engineering Mechanics
The total momentum of a system of masses (i. e. moving bodies) in any one direction remains constant, unless acted upon by an external force in that direction. This statement is called

Principle of conservation of energy
Principle of conservation of momentum
Newton's second law of motion
Newton's first law of motion

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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 lines of action are at equal distances
The algebraic sum of their moments about any point in their plane is zero
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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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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