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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

5.25 cm
5.5 cm
4.5 cm
5.0 cm

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Applied Mechanics and Graphic Statics
Time of flight of a projectile on a horizontal plane, is

2u cotα/g
2u tanα/g
2u sinα/g
2u cosα/g

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Applied Mechanics and Graphic Statics
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

n/4 rpm
2n rpm
n rpm
n/2 rpm

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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

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

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Applied Mechanics and Graphic Statics
The locus of the instantaneous centre of a moving rigid body, is

Centroid
Straight line
Involute
Spiral

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Applied Mechanics and Graphic Statics
If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is

(1/2π) √(α/θ)
2π √(α - θ)
4π √(α/θ)
2π √(α/θ)

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