Modelling in Mechanics Flashcards
what is the particle model
when the dimensions of the object are negligible
what is the rod model
all dimensions but one are negligible
what are the modelling assumptions of the particle model
- mass of object concentrated at a single point
-rotational forces and air resistance can be ignored
what are the modelling assumptions of the rod model
-mass concentrated along a line
-no thickness
-rigid (does not bend or buckle)
what does the lamina model mean
an object with area but negligible thickness, like a sheet of paper
what are the modelling assumptions of lamina
mass is distributed across a flat surface
what does the uniform body model mean
mass is distributed evenly
what are the modelling assumptions of uniform body
mass of the object is concentrated at a single point in the geometrical centre if the body- the centre of mass
what does the light object model mean
mass of the object is small compared to other masses, like a string or a pulley
what are the modelling assumptions of light object
-tension at the same at both ends of a light string
-treat object as having zero mass
what does the inextensible string model mean
A string that does not stretch under load
what are the modelling assumptions of inextensible string
- acceleration is the same in objects connected by a taut inextensible string
smooth surface modelling assumptions
- assume there is no friction between the surface and any object on it
what does the rough surface model mean
if a surface is not smooth, it is rough
rough surface modelling assumptions
- objects in contact with the surface experience a frictional force if they are moving or are acted on by a force.