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Applied Mechanics and Graphic Statics

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

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

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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

Parabola
Catenary
Ellipse
Cycloid

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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

π/64 (D⁴ + d⁴)
πd⁴/16
πd⁴/24
πd⁴/32

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Applied Mechanics and Graphic Statics
M.I. of solid sphere, is

½ Mr²
πr4/2
⅔ Mr²
Mr²

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Applied Mechanics and Graphic Statics
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

1.5 sec
1.2 sec
1 sec
½ sec

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Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

40 m/sec
50 m/sec
30 m/sec
20 m/sec

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