Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of Applied Mechanics and Graphic Statics mcq question image

(h/2) × [(b + 2a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]

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Applied Mechanics and Graphic Statics
When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

g(M2 + M1 sin α)/(M1 + M2­) m/sec²
g(M2 × M1 sin α)/(M2 - M1­) m/sec²
g(M1 - M2 sin α)/(M1 + M2­) m/sec²
g(M1 + M2 sin α)/(M1 + M2­) m/sec

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