Applied Mechanics and Graphic Statics
The following is in unstable equilibrium

A solid cube resting on one edge
A uniform solid cone resting on a generator on a smooth horizontal plane
A uniform solid cone resting on its base on a horizontal plane
A satellite encircling the earth

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Applied Mechanics and Graphic Statics
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l cos ϕ + r sin ϕ tan θ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l sin ϕ + r cos φ tan θ)
ω² (l sin ϕ - r cos θ tan ϕ)

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Applied Mechanics and Graphic Statics
The characteristic of a couple is:

All listed here
A couple can be never the balanced by a single force
Algebraic sum of forces, constituting a couple is zero
Algebraic sum of moments of forces, constituting a couple, about any point, is same

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