Modelling in mechanics

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  • MODELLING IN MECHANICS
    • gravity
      • force of attraction between all objects due to gravity (g).      g is 9.8 m/s^2
        • g is constant and is taken as 9.8 unless otherwise stated in the question
        • assume that all objects with mass are attracted to the earth
    • uniform body
      • mass is distributed evenly
        • mass of an object is concentrated at a single point; at the geometric centre of the body - the centre of the mass
    • rod
      • all dimension but one are negligible, like a pole or a beam
        • rigid ( doesn't bend or buckle )
        • no thickness
        • mass is concentrated along a line
    • lamia
      • object with area but negligible thickness like a sheet of paper
        • mass id distributed over a flat surface
    • smooth and light pulley
      • all pulleys you consider will be a smooth and light pulley
        • pulley has no mass
        • tension is the same on either side of the pulley
    • particle
      • dimensions of the object are negligible
        • mass of the object is concentrated at a single point
        • rotational forces and air resistance an be ignored
    • air resistance
      • resistance experienced as an object moves through the air
        • usually modelled as negligible
    • inextensible string
      • a sting that does not stretch when under load
        • acceleration is the same in objects connected by a taught inextensible string
    • wire
      • rigid thin length of metal
        • treated as one dimension
    • light object
    • smooth surface
    • bead
      • particle with a hole in it for threading on a wire or string
        • tension is the same on either side of the bead
        • moves freely along the wire or string
    • peg
  • mass of the object is small compared to the other masses like a string or a pulley
    • tension is same at both ends of the light string
    • treat the object as having 0 mass
    • light object
  • resistance experienced as an object moves through the air
    • usually modelled as negligible

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