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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?

1 m × 3 m
1 m × 2 m
Equally stable on all faces
2 m × 3 m

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Applied Mechanics and Graphic Statics
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

3.14 m/sec
1.57 m/sec
6.28 m/sec
1.00 m/sec

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then i. a force is required to move the body upwards ii. a force is required to move the body downward iii. the body will not be in equilibrium The correct answer is

both (i) and (iii)
only (ii)
both (i) and (ii)
only (i)

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Applied Mechanics and Graphic Statics
The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

43834
43832
2
43894

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Applied Mechanics and Graphic Statics
If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by

g2
g2/g1
g1
g1/g2

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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)
πd⁴/32
πd⁴/16

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