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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
3t³ - 2t
6t - 2
6t + 2

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

P² + Q² + 2PQ cos θ
P² + Q² + 2P sin θ
P² + Q² + 2PQ tan θ
√(P² + Q² + 2PQ cos θ)

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Applied Mechanics and Graphic Statics
The motion of a particle moving with S.H.M. from an extremity to the other, constitutes

One full oscillation
Two oscillations
Half an oscillation
None of these

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Applied Mechanics and Graphic Statics
In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is

30
80
60
50

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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

4
1/4
1/3
3

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Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Always reduce to a couple
Both (A) and (C)
Always reduce to a resultant force
Be in equilibrium

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