8. modelling in mechanics Flashcards
(27 cards)
rod model
all dimensions but one are negligible (like pole)
rod assumptions
mass concentrated along a line
no thickness
rigid
inextensible string model
string that does not stretch under load
inextensible string assumption
acceleration is the same in objects connected by an inextensible string
model particle
dimension of object are negligible
assumptions of particle
mass of object is concentrated at a single point
rotational forces/ air resistance can be ignore
gravity model
forces of attraction between all objects
acceleration due to gravity denoted by g 9.8
assumptions of gravity
assumes all objects with mass attracted towards earth
constant 9.8m/s^2
earth gravity is uniform acts vertically downwards
air resistance model
resistance experiences as object moves through air
air resistance assumptions
modelled as being negligible
peg model
a support from which a body can be suspended/rested
ped assumptions
dimensionless
can be rough or smooth as specified
lamina model
object with area but negligible thickness like paper
lamina assumptions
mass distributed across a flat surface
wire model
rigid thin length of metal
wire assumptions
treated as one dimensional
light object model
mass of object is small compared to other masses
light object assumptions
treat object as having zero mass
tension the same at both ends of string
uniform body model
mass distributed evenly
uniform body assumptions
mass of object concentrated at a single point at centre of the body
centre of mass
rough surface model
surface is not smooth but rough
rough surface assumptions
object in contact with surface experiences a frictional force if there moving acted on by a force
smooth surface assumptions
assume that there is no friction between the surface and only object on it
smooth light pulley model
all pulleys would be considered smooth and light