Modelling Assumptions Flashcards

1
Q

what is a particle

A

dimensions of the object are negligible

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2
Q

what do we assume when modelling a particle

A

mass of the object is concentrated at a single point
rotational forces and air resistance can be ignored

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3
Q

what is a rod

A

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

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4
Q

what do we assume about a rod

A

mass is concentrated along a line
no thickness
rigid (does not bend or buckle)

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5
Q

what is a lamina

A

Object with area but negligible
thickness is like a sheet of paper

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6
Q

what do we assume about a lamina

A

mass is distributed across a flat surface

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7
Q

what is a uniform body

A

Mass is distributed evenly

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8
Q

what do we assume about 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

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9
Q

what is a light object

A

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

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10
Q

what do we assume about a light object

A

treat object as having zero mass
tension the same at both ends of a light string

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11
Q

what is an inextensible string

A

A string that does not stretch under load

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12
Q

what do we assume about an inextensible string

A

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

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13
Q

what is a smooth surface

A

exactly a smooth surface

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14
Q

what do we assume about a smooth surface

A

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

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15
Q

what is a rough surface

A

If a surface is not smooth, it is rough.

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16
Q

what do we assume about 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

17
Q

what is a wire

A

Rigid thin length of metal.

18
Q

what do we assume about a wire

A

treated as one-dimensional shape

19
Q

what is a smooth and light pulley

A

all pulleys you consider will be smooth and light

20
Q

what do we assume about a smooth and light pulley

A

pulley has no mass and tension is the same on either side of the pulley

21
Q

what is a bead

A

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

22
Q

what do we assume about a bead

A

moves freely along a wire or string
tension is the same on either side of the bead

23
Q

what is a peg

A

A support from which a body can be suspended or rested.

24
Q

what do we assume about a peg

A

dimensionless and fixed
can be rough or smooth as specified in question

25
Q

what is air resistance

A

Resistance experienced as an object moves through the air.

26
Q

what do we assume about air resistance

A

usually modelled as being negligible

27
Q

what is gravity

A

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

28
Q

what do we assume about gravity

A

Assume that all 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