Modelling in Mechanics Flashcards

1
Q

what is the particle model

A

when the dimensions of the object are negligible

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2
Q

what is the rod model

A

all dimensions but one are negligible

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2
Q

what are the modelling assumptions of the particle model

A
  • mass of object concentrated at a single point
    -rotational forces and air resistance can be ignored
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3
Q

what are the modelling assumptions of the rod model

A

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

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4
Q

what does the lamina model mean

A

an object with area but negligible thickness, like a sheet of paper

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5
Q

what are the modelling assumptions of lamina

A

mass is distributed across a flat surface

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6
Q

what does the uniform body model mean

A

mass is distributed evenly

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7
Q

what are the modelling assumptions of uniform body

A

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

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8
Q

what does the light object model mean

A

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

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9
Q

what are the modelling assumptions of light object

A

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

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10
Q

what does the inextensible string model mean

A

A string that does not stretch under load

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11
Q

what are the modelling assumptions of inextensible string

A
  • acceleration is the same in objects connected by a taut inextensible string
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12
Q

smooth surface modelling assumptions

A
  • assume there is no friction between the surface and any object on it
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13
Q

what does the rough surface model mean

A

if a surface is not smooth, it is rough

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14
Q

rough surface modelling assumptions

A
  • objects in contact with the surface experience a frictional force if they are moving or are acted on by a force.
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15
Q

Wire model meaning

A

Rigid thin length of metal.

16
Q

Smooth and light pulley model meaning

A

all pulleys you consider will be smooth and light.

17
Q

wire model assumptions

A

treated as one-dimensional

18
Q

Smooth and light pulley model assumptions

A

pulley has no mass

tension is the same on either side of the pulley

19
Q

Bead model meaning

A

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

20
Q

Bead modelling assumptions

A

moves freely along a wire or string

tension is the same on either side of the bead

21
Q

Peg model meaning

A

A support from which a body can be suspended or rested

22
Q

peg model assumptions

A

dimensionless and fixed

can be rough or smooth as specified in question

23
Q

air resistance model meaning

A

Resistance experienced as an object moves through the air.

24
Q

air resistance model assumptions

A

usually modelled as being negligible

25
Q

Gravity model meaning

A

Force of attraction between all objects. Acceleration due
g = 9.8 ms?
to gravity is denoted by g

26
Q

gravity modelling assmuption

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-‘, unless otherwise stated in the question

27
Q
A