Forces in equilibrium
Tags Done
Last edited time @October 1, 2023 9:16 AM
Scalars and Vectors
scalar quantity → A quantity that only has magnitude. e.g. speed
Vector quantity → A quantity that has both magnitude and direction. e.g.
velocity
Representing scalars and vectors
To represent a Scalar you simply need to quote the value and its respective.
e.g. speed = 25ms−1 .
To represent a vector you would use arrow:
Length of arrow → magnitude, length is calculatable using a scale.
Direction → The way in which the arrow head is pointing.
An example would be:
Forces in equilibrium 1
, You can use these diagrams, similar to geometry to calculate useful
information: resultant (hypotenuse) or the angle of the resultant, θ.
Components of vectors
A single vector can be considered as having, for example, horizontal and
vertical components.
The example below shows a resultant vector and then calculating the horizontal
and vertical components, FH and FV respectively.
FV
= sin θ ⟹ FV = (6.3)(sin 23)
F
= 2.5N
FH
= cos θ ⟹ FH = (6.3)(cos 23
F
= 5.8N
Dealing with objects on slopes
📌 Question:
Consider a block of mass 4.6kgon a slope at an angle of 33°to the
horizontal.
If the block remain stationary on the slope, calculate the magnitude of
the frictional force acting on the block.
Forces in equilibrium 2
Tags Done
Last edited time @October 1, 2023 9:16 AM
Scalars and Vectors
scalar quantity → A quantity that only has magnitude. e.g. speed
Vector quantity → A quantity that has both magnitude and direction. e.g.
velocity
Representing scalars and vectors
To represent a Scalar you simply need to quote the value and its respective.
e.g. speed = 25ms−1 .
To represent a vector you would use arrow:
Length of arrow → magnitude, length is calculatable using a scale.
Direction → The way in which the arrow head is pointing.
An example would be:
Forces in equilibrium 1
, You can use these diagrams, similar to geometry to calculate useful
information: resultant (hypotenuse) or the angle of the resultant, θ.
Components of vectors
A single vector can be considered as having, for example, horizontal and
vertical components.
The example below shows a resultant vector and then calculating the horizontal
and vertical components, FH and FV respectively.
FV
= sin θ ⟹ FV = (6.3)(sin 23)
F
= 2.5N
FH
= cos θ ⟹ FH = (6.3)(cos 23
F
= 5.8N
Dealing with objects on slopes
📌 Question:
Consider a block of mass 4.6kgon a slope at an angle of 33°to the
horizontal.
If the block remain stationary on the slope, calculate the magnitude of
the frictional force acting on the block.
Forces in equilibrium 2
