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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

48 m/sec
6 m/sec
12 m/sec
24 m/sec

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are:

3 m/sec and 2 m/sec
4 m/sec and 6 m/sec
3 m/sec and 3 m/sec
2 m/sec and 2 m/sec

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Applied Mechanics and Graphic Statics
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

4.5 cm
5.5 cm
5.25 cm
5.0 cm

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Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

4 kgf, 5 kgf
3 kgf, 4 kgf
2 kgf, 3 kgf
5 kgf, 3 kgf

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Applied Mechanics and Graphic Statics
The shape of a suspended cable under its own weight, is

Catenary
Elliptical
Circular
Parabolic

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Applied Mechanics and Graphic Statics
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

π/64 (D⁴ + d⁴)
π/32 (D⁴ - d⁴)
π/32 (D⁴ + d⁴)
π/32 (D⁴ × d⁴)

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