Study
Speed
=distance / time
Velocity
Is a vector and therefore has both direction and magnitude.
=displacement / time
Accelaration
=(v-u)/t
Where v is initial velocity and u is final velocity
Displacement time graph
upward slope - constant positive velocity
flat line - stationary
downward slope - negative constant velocity
It can often be easier to just draw a distance-time graph.
velocity-time graph
Acceleration-time graph
a graph describing motion of an object, with acceleration on the vertical axis and time
on the horizontal axis.
upward slope - increasing acceleration
flat line - constant acceleration
downward slope - decreasing acceleration
Adding vectors
Draw both vectors next to each other head to tail and then use Pythagoras and/or trig to
calculate the missing side of the triangle and the angle.
Remember, in order to draw these correctly, you'll probably have to move one of the
vectors.
Moments
the turning, movement of a force.
=force x perpendicular distance from the pivot.
Principle of moments
For an object that is in equilibrium:
- the sum of the clockwise moments = the sum of the anticlockwise moments
- There is no resultant force.
Centre of gravity
The point where the entire weight of an object appears to act.
This is essentially the same thing as the centre of mass
This always lies along the line of symmetry. for a flat irregular object hang it from
different points and draw a line straight down. Where the lines connect that's the centre
of mass, because it will always hang directly under a point of suspension.
For other irregular objects it can be found using moments.
Newton's First Law
An object at rest stays at rest and an object in motion stays in motion with the same
speed and in the same direction unless acted upon by an unbalanced force.
Newton's Second Law