Mechanics assumptions

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Particle - DImensions of the object are negligible

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13 Terms

1

Particle - DImensions of the object are negligible

  • mass of the object is concentrated at a single point

  • rotational forces and air resistance can be ignored

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2

Rod - All dimensions but one are negligible, like a pole or beam

  • mass is concentrated along a line

  • no thickness

  • rigis (does not bend or buckle)

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3

Lamina - Object with area but negligible thickness, like a sheet of paper

  • mass is distributed across a flat surface

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4

Uniform body - Mass is distributed evenly

  • mass of the object is concentrated at a single point at the geometrical centre of the body - the centre of mass

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5

Light object - Mass of the object is small compared to other masses, like a string or a pulley

  • treat object as having zero mass

  • tension the same at both ends of a light string

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6

Inextensible string - A string that does not stretch under load

  • acceleration is the same in objects connected by a taut inextensible string

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7

Smooth surface

  • assume that there is no friction between the surface and any object on it

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8

Wire - Rigid thin length of metal

  • treated as one-dimensional

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9

Smooth and light pulley - all pulleys you consider will be smooth and light

  • pulley has no mass

  • tension is the same on either side of the pulley

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10

Bead - Particle with a hole in it for threading on a wire or string

  • moves freely along a wire or string

  • tension is the same on either side of the bead

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11

Peg - A support from which a body can be suspended or rested

  • dimensionless and fixed

  • can be rough or smooth as specified in question

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12

Air resistance - Resistance experienced as an object moves through the air

  • usually modelled as bring negligible

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13

Gravity - Force of attraction between all objects. Acceleration due to gravity is donoted by g

  • assume that all objects with madd are attracted towards the Earth

  • Earth’s gravity is uniform and acts vertically downwards

  • g is a constant and is taken as 9.8 m s^-2 unless otherwise stated in the question

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