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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

400 J
89 J
464 J
64 J

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Applied Mechanics and Graphic Statics
The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity

Only (i)
Both (i) and (iii)
All are correct
Both (ii) and (iii)

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Applied Mechanics and Graphic Statics
A system of coplanar forces acting on a rigid body can be reduced to

One couple only
None of these
One force only
One force and one couple only

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

1/3
1/4
3
4

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Applied Mechanics and Graphic Statics
A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

18.0 J
12.0 J
4.5 J
9.0 J

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Applied Mechanics and Graphic Statics
The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

0.3 R
0.2 R
0.4 R
0.6 R

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