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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

P tan θ/2
2P cos θ/2
2P sin θ/2
P cos θ/2

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Applied Mechanics and Graphic Statics
To double the period of oscillation of a simple pendulum

The mass of its bob should be quadrupled
The mass of its bob should be doubled
Its length should be quadrupled
Its length should be doubled

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Applied Mechanics and Graphic Statics
The intrinsic equation of catenary is

y = c cosh ψ
S = c tan ψ
y = c sinh ψ
y = c cosh x/c

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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 + 2PQ tan θ
P² + Q² + 2PQ cos θ
P² + Q² + 2P sin θ

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/8d
wl²/4d
wl/4d
wl²/16d

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Applied Mechanics and Graphic Statics
A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

1.5 m
1.0 m
0.5 m
0.75 m

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