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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

3
4
5
2

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Applied Mechanics and Graphic Statics
A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

40 sec
30 sec
15 sec
20 sec

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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

3t³ - 2t
6t + 2
3t² + 2t
6t - 2

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(i) and (iii)
(ii) and (iii)
(i) and (iv)
(ii) and (iv)

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Applied Mechanics and Graphic Statics
The centre of gravity of a homogeneous body is the point at which the whole

All listed here
Weight of the body is assumed to be concentrated
Volume of the body is assumed to be concentrated
Area of the surface of the body is assumed to be concentrated

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Applied Mechanics and Graphic Statics
Power developed by a torque, is

2πNT kg m/min
All listed here
2πNT /60 watts
2πNT/4500 h.p

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