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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is

3 cm
5 cm
4 cm
2 cm

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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

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

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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

2
5
4
3

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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

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

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Applied Mechanics and Graphic Statics
The intrinsic equation of catenary is

S = c tan ψ
y = c sinh ψ
y = c cosh x/c
y = c cosh ψ

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Applied Mechanics and Graphic Statics
The angle of projection at which the horizontal range and maximum height of a projectile are equal to

45°
56°
36°
76°

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