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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
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/3) × [(b + 2a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]

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Applied Mechanics and Graphic Statics
A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is

20
18
26
15

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Applied Mechanics and Graphic Statics
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

43834
43835
43832
43833

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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
3t² + 2t
6t - 2
3t³ - 2t

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Applied Mechanics and Graphic Statics
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

0.75 m/sec²
1.00 m/sec²
1.25 m/sec²
0.5 m/sec²

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