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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

None of these
P = Q
P = R
Q = R

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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

A straight line
Two straight lines
A point
A triangle

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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

1/3
1/4
4
3

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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?

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

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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 ψ
y = c cosh x/c

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Applied Mechanics and Graphic Statics
A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

0.5 m/sec
1.5 m/sec
2.5 m/sec
3.5 m/sec

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