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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The velocity of a body fallen from height ‘h’, on reaching the ground is given by

v = 2gh
v = 2gh²
v = √(2gh)
v = 1/√(2gh)

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Applied Mechanics and Graphic Statics
The intrinsic equation of catenary is

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

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Applied Mechanics and Graphic Statics
A system of coplanar forces is in equilibrium when

Force polygon closes
Both force polygon" and funicular polygon close
Funicular polygon closes
All the forces are concurrent

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Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

1/r
r
r2
log r

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Applied Mechanics and Graphic Statics
If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is

4π √(α/θ)
(1/2π) √(α/θ)
2π √(α - θ)
2π √(α/θ)

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Applied Mechanics and Graphic Statics
The shape of a suspended cable for a uniformly distributed load over it is

Cubic parabola
Parabolic
Catenary
Circular

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