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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A system of coplanar forces acting on a rigid body can be reduced to

One couple only
One force and one couple only
One force only
None of these

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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

3
1/3
4
1/4

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.The speeds of the objects are:

4 m/sec and 6 m/sec
3 m/sec and 3 m/sec
3 m/sec and 2 m/sec
2 m/sec and 2 m/sec

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

P sin θ/P - Q cos θ
Q sin θ/P + Q cos θ
P sin θ/P + Q tan θ
Q sin θ/P + Q sin θ

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Applied Mechanics and Graphic Statics
A quantity measured in the C.G.S system of units has dimensions M”2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ?

1/10000
100
1/100
1

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Applied Mechanics and Graphic Statics
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on

Two straight lines
A point
A triangle
A straight line

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