Mechanics 8.2 Modelling assumptions Flashcards

1
Q

Model of a Particle

A

Particle - Dimensions of the object are negligible

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2
Q

Rod Model

A

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

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3
Q

Lamina model

A

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

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4
Q

Uniform body model

A

Uniform body -mass is distributed evenly

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5
Q

Light object model

A

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

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6
Q

Inextensible string model

A

Inextensible string - A string that does not stretch under load

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7
Q

Rough surface model

A

Rough surface - If a surface is not smooth, it is rough

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8
Q

Wire model

A

Wire - rigid thin length of metal

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9
Q

Smooth and light pulley model

A

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

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10
Q

Bead model

A

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

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11
Q

Peg model

A

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

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12
Q

Air resistance model

A

Resistance experienced as an object moves through the air

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13
Q

Gravity model

A

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

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14
Q

Modelling assumptions for a particle

A

-Mass of all the object is concentrated at a single point
-Rotational forces and air resistance can be ignored

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15
Q

Modelling assumptions for a rod

A

-Mass is concentrated along a line
-No thickness
-Rigid (doesn’t bend or buckle)

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16
Q

Modelling assumptions for a Lamina

A

-Mass is distributed across a flat surface

17
Q

Modelling assumptions for a Uniform Body

A

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

18
Q

Modelling assumptions for a Light object

A

-Treat object as having zero mass
-Tension the same at both ends of a light string

19
Q

Modelling assumptions for an Inextensible string

A

-Acceleration is the same in objects connected by a taut Inextensible string

20
Q

Modelling assumptions for Smooth surface

A

-Assume that there is no friction between the surface and any object on it

21
Q

Modelling assumptions for a rough surface

A

-Objects in contact with the surface experience a frictional force if they are moving or are acted on by a force

22
Q

Modelling assumptions for a Wire

A

-Treated as one dimensional

23
Q

Modelling assumptions for a smooth and light pulley

A

-Pulley has no mass
-tension is the same on either side of the bead

24
Q

Modelling assumptions for a Peg

A

-Dimensionless and fixed
-Can be rough or smooth as specified in question

25
Q

Modelling assumptions for Air resistance

A

-Usually modelled as being negligible

26
Q

Modelling assumptions for Gravity

A

-Assume that all the objects with mass are attracted towards the Earth
-Earth’s gravity is uniform and acts vertically downwards
-g is constant and is taken as 9.8 m s^-2, unless otherwise stated in the question.