Applied Mechanics and Graphic Statics
A body is said to move with Simple Harmonic Motion if its acceleration, is

Proportional to the square of the distance from the point of reference
Proportional to the distance from the point of reference and directed towards it
Always directed away from the centre, the point of reference
Inversely proportion to the distance from the point of reference

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

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

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

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