Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(a² + ab + c²)/3 (a + c)
(b² + bc + c²)/3 (b + c)
(a² + ab + b²)/3 (a + b)
None of these

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Applied Mechanics and Graphic Statics
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l sin ϕ - r cos θ tan ϕ)
ω² (l sin ϕ + r cos φ tan θ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l cos ϕ + r sin ϕ tan θ)

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Applied Mechanics and Graphic Statics
Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

Its longer side
The diagonal of the parallelogram which passes through the point of intersection of the forces
The diagonal of the parallelogram which does not pass through the point of intersection of the forces
Its shorter side

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