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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is

b³/4
b⁴/8
b⁴/3
b⁴/12

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Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

10.88 m/sec
8.88 m/sec
5.88 m/sec
12.88 m/sec

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Applied Mechanics and Graphic Statics
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

u² sin 2α/2g
u² cos² α/2g
u² tan² α/2g
u² sin² α/2g

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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
4E
E/2
2E

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Applied Mechanics and Graphic Statics
At a given instant ship ‘A’ is travelling at 6 km/h due east and ship ‘B’ is travelling at 8 km/h due north. The velocity of ‘B’ relative to ‘A’ is

7 km/hrs
2 km/hrs
10 km/hrs
1 km/hrs

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Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Proportional to 1/A²
Proportional to A
Proportional to A²
Independent of A

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