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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

R/r1 - r2
2R/r1 + r2
2R/r1
3R/r1 - r2

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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 tan² α/2g
u² cos² α/2g
u² sin² α/2g

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Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

None of these
One-half of the total height above base
One-fourth of the total height above base
One-third of the total height above base

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Applied Mechanics and Graphic Statics
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is

350 m
400 m
375 m
425 m

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Applied Mechanics and Graphic Statics
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

43839
44052
43864
43833

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Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

89 J
400 J
64 J
464 J

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