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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

None of these
That resultant couple must be zero
Both (A) and (B)
That polygon of forces must close

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Applied Mechanics and Graphic Statics
A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

Ellipse
Parabola
Catenary
Cycloid

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Applied Mechanics and Graphic Statics
A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

1.0 m
1.5 m
0.5 m
0.75 m

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Applied Mechanics and Graphic Statics
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes

E/2
4E
2E
E

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Applied Mechanics and Graphic Statics
The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity

Both (ii) and (iii)
Only (i)
All are correct
Both (i) and (iii)

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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

πd⁴/32
π/64 (D⁴ + d⁴)
πd⁴/24
πd⁴/16

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