Definitions (Component 1) Flashcards
Quantity
In S.I. a quantity is represented by a number * a unit,
e.g. m = 3.0 kg
Scalar
A scalar is a quantity that has magnitude only.
Vector
A vector is a quantity that has magnitude and direction.
Resolving a vector
into components in
particular directions
This means finding vectors (the so-called components)
in these directions, which add together vectorially to
make the original vector, and so, together, are
equivalent to this vector
Density of a
material, ρ
Density = Mass/ Volume Unit: kg m^-3
or g cm^-3
in which mass and volume apply to any sample of the
material.
Moment (or torque) of
a force
The moment (or torque) of a force about a point is defined as the force * the perpendicular distance from the point to the line of action of the force, i.e. moment = F * d Unit: Nm [N.B. the unit is not J]
The principle of
moments
For a system to be in equilibrium, Sum of anticlockwise
moments about a point = Sum of clockwise moments about
the same point.
Centre of gravity
The centre of gravity is the single point within a body at
which the entire weight of the body may be considered
to act.
Displacement
The displacement of a point B from a point A is the
shortest distance from A to B, together with the
direction. Unit: m
Mean Speed
Mean Speed = total distance travelled/ total time taken
Unit: ms^-1
Instantaneous speed
Instantaneous speed = rate of change of distance
Unit: ms ^-1
Mean acceleration
Mean acceleration + Change in velocity/ time taken
Unit: ms^-2
Instantaneous
acceleration
The instantaneous acceleration of a body is its rate of
change of velocity. Unit: ms ^-2
Terminal velocity
The terminal velocity is the constant, maximum velocity
of an object when the resistive forces on it are equal
and opposite to the ‘accelerating’ force (e.g. pull of
gravity).
Force, F
A force on a body is a push or a pull acting on the body
from some external body.
Unit: N
Newton’s 3rd law
If a body A exerts a force on a body B, then B exerts
an equal and opposite force on A.
Σ F = m a
The mass of a body * its acceleration is equal to the
vector sum of the forces acting on the body. This
vector sum is called the resultant force
Momentum
The momentum of an object is its mass multiplied by
its velocity. (p = mv). It is a vector.
UNIT: kg ms ^-1
or Ns
Newton’s 2nd law
The rate of change of momentum of an object is
proportional to the resultant force acting on it, and
takes place in the direction of that force
The principle of
conservation of
momentum
The vector sum of the momenta of bodies in a system
stays constant even if forces act between the bodies,
provided there is no external resultant force.