Modelling assumptions Flashcards
Modelling assumptions
Air resistance
Lamina
Rod
Tension is the same at both ends of a light spring. Here, the mass is very small(regarded as zero).
The surface is smooth
Wire
The surface is rough
Particle
Uniform body
Gravity
Inextensible
Air resistance
The friction an object experiences as it moves through space
Lamina
An object with two dimensions(length and width), such as a sheet of metal. Its mass is evenly distributed across a flat surface.
Rod
An object with one dimension(length), such as a pole or a beam. Its mass is distributed along a straight line. It is rigid(does not bend or buckle).
Smooth surface
This assumes there’s no friction between this surface and an object.
Wire
A rigid, thin length of metal, treated as one dimensional, either smooth or rough
Rough surface
This takes into account friction on surfaces
Particles
Where dimensions of the object are negligible/unimportant. Its mass is concentrated at a single point. Air resistance and rotational forces can be ignored.
Uniform body
Its mass is evenly distributed. Its mass is concentrated at the geometrical centre of the body(centre of mass).
Gravity
The force of attraction to the Earth, measured at 9.8m/s2. It is uniform and acts vertically downwards
Inextensible
When an object does not stretch under a load. Acceleration is constant in objects connected by a taut inextensible string.
One improvement to model of motion to make the model more realistic
As velocity increases, rate of acceleration decreases
Assumption for air resistance in model
Usually ignored
Assumption for bead - a 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
Assumption for beam- like a pole
Ignore its thickness.
its mass is concentrated along a line.
It doesn’t bend