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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A smooth cylinder lying on its convex surface remains

Out of equilibrium
In unstable equilibrium
In stable equilibrium
In neutral equilibrium

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Applied Mechanics and Graphic Statics
On a mass ‘m’ describing a circular path of radius ‘r’, the centrifugal force

Acts towards the centre of rotation
Acts away from the centre of rotation
Acts tangentially to the circular path
Is mw2r/g kgf

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Applied Mechanics and Graphic Statics
A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball ‘B’ on the table. If the impact is perfectly plastic, the velocity of the ball ‘B’ just after impact would be

None of these
5 m/sec
Zero
10 m/sec

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Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

πd⁴/24
π/64 (D⁴ + d⁴)
πd⁴/16
πd⁴/32

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Applied Mechanics and Graphic Statics
The intrinsic equation of catenary is

y = c cosh ψ
S = c tan ψ
y = c cosh x/c
y = c sinh ψ

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/2 + β/2
α = π/4 - β/2
α = π/4 - β/2
α = β/2 - π/2

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