Modelling Assumptions Flashcards
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
Rod - All dimensions but one are negligible, like a pole or a beam
- mass is concentrated along a line
- no thickness
- rigid
Lamina - Object with area but negligible thickness, like a sheet of paper
- mass is distributed across a flat surface
Uniform body - mass is distributed evenly
- mass of object is concentrated at a single point at the geometrical centre of the body - the centre of mass
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
Inextensible string - a string that does not stretch under load
-acceleration is the same in objects connected by a taut inextensible string
Smooth surface
-assume that there is no friction between the surface and any object on it
Rough surface - if a surface is not smooth, it is rough
- objects in contact with the surface experience a frictional force if they are moving or are acted on by a force
Wire - rigid thin length of metal
- treated as one-dimensional
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 bead
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
Peg - a support from which a body can be suspended or rested
- dimensionless and fixed
- can be rough or smooth as specified in question
Air resistance- resistance experienced as an object moves through the air
- usually modelled as being negligible
Gravity - force of attraction between all objects. Acceleration due to gravity is denoted by g
- assume that all objects with mass are attracted towards the Earth
- Earth’s gravity is uniform and acts vertically downwards
What is the value of acceleration due to gravity?
g = 9.81 m/s^2