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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

50 J
150 J
200 J
400 J

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

T = π/2ω
T = 2π/ω
T = 2ω/π²
T = 2/ω

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Applied Mechanics and Graphic Statics
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be

200 tonnes at the right support
200 tonnes at the left support
500 tonnes at the centre
200 tonnes at the centre

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Applied Mechanics and Graphic Statics
On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts

Towards the wall at its upper end
Downwards at its upper end
Away from the wall at its upper end
Upwards at its upper end

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Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

6t + 2
3t³ - 2t
3t² + 2t
6t - 2

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Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Proportional to 1/A²
Independent of A
Proportional to A²
Proportional to A

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