Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

√(P² + Q² + 2PQ cos θ)
P² + Q² + 2P sin θ
P² + Q² + 2PQ tan θ
P² + Q² + 2PQ cos θ

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Applied Mechanics and Graphic Statics
Lami's theorem states that

Three forces acting at a point are always in equilibrium
Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two
If three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium
Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two

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Applied Mechanics and Graphic Statics
Pick up the incorrect statement from the following. In a simple harmonic motion

Velocity is minimum at the end of the stroke
Acceleration is minimum at the end of the stroke
Acceleration is zero at the mean position
Velocity is maximum at its mean position

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Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Sum of resolved parts in any two directions at right angles, are both zero
Algebraic sum of the moments of the forces about the point is zero
Two resolved parts in any two directions at right angles are equal
Algebraic sum of the forces is zero

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