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

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Engineering Mechanics
A lead ball with a certain velocity is made to strike a wall, it falls down, but rubber ball of same mass and with same velocity strikes the same wall, it rebounds. Select the correct reason from the following:

The change in momentum suffered by rubber ball is more than the lead ball
None of these
Both the balls undergo an equal change in momentum
The change in momentum suffered by rubber ball is less than the lead ball

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