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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

10 rad/sec
1 rad/sec
100 rad/sec
0.1 rad/sec

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

cos (α - β)/cos (α + β)
sin (α + β)/sin (α - β)
tan (α - β)/tan (α + β)
sin (α - β)/sin (α + β)

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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

64 J
464 J
400 J
89 J

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Applied Mechanics and Graphic Statics
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

1.5 m/sec
1.0 m/sec
2.5 m/sec
0.5 m/sec

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Applied Mechanics and Graphic Statics
A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:

40 g
80 g
60 g
100 g

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Applied Mechanics and Graphic Statics
In case of S.H.M. the period of oscillation (T), is given by

T = 2/ω
T = 2π/ω
T = π/2ω
T = 2ω/π²

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