Applied Mechanics and Graphic Statics
A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

Less than that on BC
None of these
More than that of BC
Equal to that on BC

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Applied Mechanics and Graphic Statics
A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

[r (π - 0.25)]/(π - 0.5)
[r (π + 0.25)]/(π + 0.5)
[r (π - 0.5)]/(π + 0.25)
[r (π + 0.25)]/(π - 0.5)

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

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