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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

1 kg and 4 kg
3 kg and 5 kg
√3 kg and √5 kg
2 kg and 3 kg

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Applied Mechanics and Graphic Statics
When two forces, each equal to P, act at 90° to each other, then the resultant will be

2P
P/√2
P
P√2

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)
tan (α - β)/tan (α + β)
sin (α + β)/sin (α - β)

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Applied Mechanics and Graphic Statics
The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

b³h/12
bh³/2
bh³/3
bh³/36

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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

43833
3
43834
4

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Applied Mechanics and Graphic Statics
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is

cosec θ
tan θ
cos θ
sin θ

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