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Applied Mechanics and Graphic Statics

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

3t² + 2t
6t + 2
6t - 2
3t³ - 2t

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Applied Mechanics and Graphic Statics
If y is force and x is velocity, then dimensions of —=r are dx2

M2L’T3
M’L-‘T0
M’^T’
M’L-‘T1

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Applied Mechanics and Graphic Statics
The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are

2
1
Infinity
Zero

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Applied Mechanics and Graphic Statics
If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be

r/v²
v²/r
r/ω²
ω²/r

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Applied Mechanics and Graphic Statics
Maximum efficiency of a screw jack for the angle of friction θ, is

(1 - sin θ)/(1 + sin θ)
sin θ/(1 + sin θ)
(1 + sin θ)/(1 - sin θ)
(1 - sin θ)/sin θ

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Applied Mechanics and Graphic Statics
A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?

1 m × 3 m
Equally stable on all faces
2 m × 3 m
1 m × 2 m

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