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Applied Mechanics and Graphic Statics

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
464 J
64 J
400 J

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

108.5 kg
110 kg
102.5 kg
105.5 kg

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Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be

5
2
4
3

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Applied Mechanics and Graphic Statics
In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?

Howe truss
King post truss
Warren truss
Fink truss

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Applied Mechanics and Graphic Statics
The bending moment in an arch is proportional to

Vertical ordinate of the arch
None of these
Intercept between the arch axis and the funicular polygon
Vertical ordinate of funicular polygon

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Applied Mechanics and Graphic Statics
If the angular distance, 0 = 2t³ ‑ 3t², the angular acceleration at t = 1 sec. is

12 rad/sec²
1 rad/sec²
4 rad/sec²
6 rad/sec²

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