Mechanics Flashcards
Define ‘kinematics’
the study of motion/movement without considering forces
What are the 2 types of movement
- Linear/Translational
- Rectilinear
- Curvilinear
- Rotational
SI base units relative to motion
Metre (m) - standard unit of length
Kilogram (kg) - standard unit of mass
Second (s) - standard unit of time
Give an example of a supplementary base unit
Radian (rad) - standard unit of angle
What are ‘derived units’ and give an example
formed by combining base units
e.g. the Newton (N) kg m s-2
What is the COMMON unit of angle
the degree (1/360th of a full revolution)
what is one radian equal to approximately in degrees
57.296 degrees
definition of a radian
one radian encloses an arc which is equal in length to the circle radius
how many radians are equal to a full revolution (360 degrees)
2π radians
definition of a scalar and give examples
has a magnitude only.
e.g. distance, speed, angle, mass, temperature
definition of a vector and give examples
has both a magnitude and a direction.
e.g. displacement, velocity, acceleration, momentum
difference between angular distance and angular displacement
angular distance = the total angle turned through (scalar)
angular displacement = the angle turned through and the direction of rotation about an axis (vector)
what are rectangular coordinates
three axes at right-angles to each other (x, y and z axes)
rectangular coordinates are an example of orthogonal axes. what does this mean?
the axes are all at right angles to each other, so they are independent. a change in position of one axis doesn’t result in a change in position in another axis.
definition of a ‘plane’
a flat surface that have zero-thickness and are 2-D.
what are polar coordinates
gives an ANGLE of a line and its LENGTH
if an object has 6 degrees of freedom, what does this mean
the object is free to move in all directions.
i.e. 3 independent translations, 3 independent rotations
define ‘speed’
distance travelled / time taken
define ‘velocity’
speed AND direction of travel.
displacement / time (unit: m s-1)
the gradient of a displacement/time graph gives you…
the velocity
define ‘acceleration’
the rate of change of velocity.
change in velocity/time taken (unit: m s-2)
the gradient of a velocity/time graph gives you…
the acceleration
the area under a velocity/time graph gives you…
the total displacement
give the equations of linear motion
v = u + at
v(squared) = u(squared) + 2as
s = 1/2(u + v) t
s = ut + 1/2at(squared)