Modelling assumptions Flashcards

1
Q

What 3 assumptions are made when the object is modelled as a particle?

A
  1. the mass of the object is concentrated at a single point
  2. rotational forces can be ignored
  3. air resistance can be ignored
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2
Q

What 3 assumptions can be made when an object is modelled as a rod?

A
  1. the mass is concentrated along a line
  2. no thickness
  3. rigid
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3
Q

What is a lamina?

A

An object with an area but negligible thickness (like paper)

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4
Q

What assumption can be made if an object is modelled as a lamina?

A

mass is distributed across a flat surface

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5
Q

What assumption can be made with a uniform body?

A

mass is concentrated at the centre of mass

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6
Q

What 2 assumptions can be made when an object is light?

A
  1. treat object as having zero mass
  2. tension is the same at both ends of a light string
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7
Q

What assumption can be made with an inextensible string?

A

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

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8
Q

What assumption can be made when a surface is smooth?

A

no friction between surface and any object on it

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9
Q

What assumption can be made when a surface is rough?

A

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

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10
Q

What assumption can be made with a wire?

A

it has one-dimension

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11
Q

What 2 assumptions can be made with a smooth and light pulley?

A
  1. pulley has no mass
  2. tension is the same on either side of the pulley
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12
Q

What 2 assumptions can be made with a bead?

A
  1. moves freely along wire or string
  2. tension is the same either side of the bead
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13
Q

What 2 assumptions can be made with a peg?

A
  1. dimensionless
  2. fixed
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14
Q

Air resistance is usually modelled as being __________.

A

negligible

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15
Q

What 3 assumptions can be made with gravity?

A
  1. all objects with mass are attracted towards the Earth
  2. Earth’s gravity is uniform and acts vertically downwards
  3. g is constant and is taken as 9.8 m/s2 (unless otherwise stated in the question)
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16
Q

What does it mean when an object is modelled as a particle? (1 mark)

A

The dimensions of the object are negligible.

17
Q

What does it mean when an object is modelled as a rod? (1 mark)

A

All dimensions but one are negligible, like pole or beam

18
Q

What does it mean when an object is modelled as a laminate? (1 mark)

A

The object has an area but negligible thickness, like paper.

19
Q

What is meant by a ‘uniform body’? (1 mark)

A

The mass is distributed evenly.

20
Q

What is meant by a ‘light object’? (1 mark)

A

The mass of the object is small in comparison with other masses, like a string/pulley.

21
Q

What is meant by a ‘wire’? (1 mark)

A

A rigid thin length of metal.

22
Q

What is the normal reaction? (2 marks)

A

The upward force that acts perpendicular to a surface when an object is in contact with the surface.