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

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Engineering Mechanics
The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to

The sum of the resolved parts of the forces in the given direction
The algebraic sum of the resolved parts of the forces in the given direction
The sum of the forces multiplied by the sine of θ
The difference of the forces multiplied by the cosine of θ

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Engineering Mechanics
A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

Slant down towards direction of pull
Slant up towards direction of pull
Remain horizontal
None of these

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