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3.4.1.1 Scalars and Vectors (Equilibrium (When a body is in equilibrium it…
3.4.1.1 Scalars and Vectors
Nature of Vectors
Scalar Quantities
Has
magnitude
but no direction
Examples:
Displacement
Velocity
Acceleration
Force
Momentum
Vector Quantities
Has
magnitude
and
direction
Examples:
Length
Mass
Time
Speed
Energy
Power
Two vectors acting in
opposite
directions along the same line are
antiparallel
:arrow_right::arrow_left:
Calculations with Perpendicular Vectors
Both
Pythagoras
and \(a^2 +b^2 = c^2\) can be used to calculate the
size
and
direction
of vectors
Resolving Vectors
This is calculating the two perpendicular vectors
\(Fx = F\cos(\theta)\) :blue_heart:
\(F_y =F\sin(\theta)\) :blue_heart:
Resolving Vectors on an inclined Plane
Draw a diagram to understand the question
Equilibrium
When a body is in
equilibrium
it will either be
at rest
or morving with
constant Velocity
Forces must be
equal
and
opposite
When 3 forces act on a point object, their
resultant
is zero only if the
resultant
of the other two forces is
equal and opposite
to the third force
\(W=T_1 \cos(\theta_1)\)
