GCSE Physics - Vector Diagrams and Resultant Forces #43
Summary
TLDRThis educational video demonstrates the use of scale drawings to calculate resultant forces on objects. It illustrates how to combine forces acting in different directions, such as a cyclist pushing north with a force of 4 newtons while a wind blows east with 3 newtons, resulting in a 5 newton force at 37 degrees. The video also covers the concept of equilibrium when forces balance out and the process of resolving vectors, as shown by breaking down a 50 newton force into its horizontal and vertical components on a ramp. The clear explanation and visual examples make complex physics concepts accessible.
Takeaways
- 📏 The video demonstrates using scale drawings to determine the resultant force on an object.
- 🚴♂️ An example is given of a cyclist applying a force of 4 newtons northward while a 3 newton force from the wind is blowing eastward.
- 📏 The forces are represented on a grid with arrows indicating direction and magnitude, where each newton is equivalent to one centimeter.
- 🔍 To find the resultant force, the two vectors are placed tip to tail and the magnitude is measured on the scale diagram.
- 📐 The direction of the resultant force is determined using a protractor to measure the angle from north.
- 🧭 The resultant force is calculated as 5 newtons at a bearing of 37 degrees from north.
- ⚖️ The concept of equilibrium is introduced, where forces balance out resulting in zero resultant force.
- 🔄 The order of arranging vectors does not affect the resultant force when they form a closed shape, indicating no resultant force.
- 🔄 The video also covers resolving vectors, which is the process of breaking down a vector into its horizontal and vertical components.
- 🛣️ An example of resolving a 50 newton force on a toy car going up a ramp is provided, using a scale of 10 newtons per centimeter.
- 📏 The resolved components are measured and converted to find the horizontal and vertical forces, resulting in 40 newtons to the right and 30 newtons upwards.
Q & A
What is the purpose of using scale drawings in the video?
-The purpose is to find the resultant force on an object by representing forces as vector arrows on a grid and using a scale to convert measurements.
What scenario is used to explain the concept of resultant force?
-The scenario of a man on a bike peddling northwards with a force of 4 newtons while a strong breeze blows him eastwards with a force of 3 newtons is used.
How are the forces represented on the grid in the example?
-The forces are represented as a four-centimeter arrow upwards for the northward force and a three-centimeter arrow to the right for the eastward force, with each centimeter representing one newton.
What method is used to find the magnitude and direction of the resultant force?
-The two vector arrows are placed tip to tail, and the resultant force is found by drawing a line from the starting point to the end point. The length of this line is measured and converted using the scale.
How is the resultant force measured and converted using the scale?
-The resultant force is measured to be five centimeters, which is then converted to five newtons using the scale where one centimeter equals one newton.
How is the direction of the resultant force determined?
-The direction is determined by measuring the angle between the resultant force and the north vector using a protractor, which gives an angle of around 37 degrees.
What does it mean if the forces all balance?
-If the forces all balance, the object is at equilibrium, meaning there is no resultant force acting on it.
How can forces be shown to balance on a grid?
-Forces can be shown to balance by arranging the vector arrows tip to tail. If they form a perfect triangle, it indicates zero resultant force.
What is the process of resolving vectors?
-Resolving vectors involves splitting a force into its horizontal and vertical components using a scale drawing.
How is a vector resolved into its components in the toy car example?
-The 50 newton force is represented by a 5 centimeter line at the same angle as the ramp. Horizontal and vertical lines are drawn from the ends of this line, measured, and converted using the scale to find the horizontal and vertical components.
Outlines
🚴♂️ Finding Resultant Force with Scale Drawings
This paragraph introduces the concept of using scale drawings to determine the resultant force on an object. It illustrates a scenario with a man on a bike applying a force of 4 newtons northward while a 3 newton force from a breeze is pushing him eastward. The forces are represented on a grid, with each newton equating to a centimeter. The resultant force is found by placing the vectors tip to tail and measuring the magnitude with a ruler, which in this case is 5 centimeters or 5 newtons. The direction is determined using a protractor, yielding an angle of 37 degrees from north. The paragraph also explains the concept of equilibrium when forces balance out, resulting in zero resultant force, and the importance of arranging vectors tip to tail regardless of order.
🔍 Resolving Vectors with Scale Drawings
The second paragraph delves into the process of resolving vectors, which is the opposite of finding the resultant force. It uses the example of a toy car being pushed up a ramp with a 50 newton force. The force is represented on a 10 newtons per centimeter scale, and the force's direction is aligned with the ramp's angle. The force is then resolved into its horizontal and vertical components by drawing perpendicular lines to the ramp's surface and measuring the lengths of these lines. The horizontal component is found to be 40 newtons to the right, and the vertical component is 30 newtons upwards. This process is essential for understanding how a single force can be broken down into its directional components.
Mindmap
Keywords
💡Scale Drawings
💡Resultant Force
💡Neutrons
💡Vector
💡Equilibrium
💡Protractor
💡Ramp
💡Horizontal and Vertical Components
💡Toy Car
💡Like and Subscribe
Highlights
The video demonstrates using scale drawings to determine the resultant force on an object.
A man on a bike creates a force of 4 newtons northward while a breeze exerts 3 newtons eastward.
Forces are represented on a grid with the cyclist as an orange dot and arrows indicating forces.
Each newton is equivalent to one centimeter in the scale diagram.
The resultant force is found by placing vector arrows tip to tail and drawing a line from start to end.
The magnitude of the resultant force is measured with a ruler and converted using the scale.
The direction of the resultant force is measured with a protractor.
An example shows a resultant force of 5 newtons at a bearing of 37 degrees from north.
Equilibrium occurs when forces balance, resulting in zero resultant force.
Three forces acting on a particle can be arranged tip to tail to find the overall force.
The order of arranging forces does not affect the resultant force calculation.
Vectors can be resolved into their horizontal and vertical components using a scale drawing.
A toy car example illustrates resolving a 50 newton force on a ramp.
The 50 newton force is represented by a 5 centimeter line at the ramp's angle.
Horizontal and vertical components are found by drawing perpendicular lines and measuring them.
The resolved force components are 40 newtons to the right and 30 newtons upwards.
The video concludes with an encouragement for likes and subscriptions for more content.
Transcripts
in this video we're going to look at how
we can use scale drawings
to find the resultant force on an object
let's imagine that a man on his bike is
peddling to create a force of 4 neutrons
northwards
at the same time though a strong breeze
is blowing him eastwards with a force of
3 newtons
we can represent this situation on a
grid
where the cyclist is this orange dot
and the forces are shown as a four
centimeter arrow upwards
and a three centimeter arrow to the
right
so that each newton is equal to one
centimeter
now that we have a scale diagram
we can find the magnitude and direction
of the resultant force by placing these
two vector arrows tip to tail
which we could do by moving this one up
here
so that the tip of the north vector
is just touching the tail of the east
vector
then to find the resultant force we just
draw a line from the starting point over
to the end point
and because our drawing is the scale
we can just measure it with a ruler to
see how long it is
in this case five centimeters
and then we can convert that into
neutrons using our scale
so because each centimeter is one newton
our resultant force would be five
newtons
to find the direction of the force
we just measure this angle here with a
protractor
which would give us around 37 degrees
so we could say that the resultant force
is 5 newtons at a bearing of 37 degrees
from north
in some cases the forces might all
balance
in which case the object will be at
equilibrium
for example if we had a particle that
had these three forces acting on it
then to find the overall force we just
arrange the three arrows tip to tail
like before
and because they all join up perfectly
like this
it means there must be zero resultant
force
don't worry about arranging the arrows
in any particular order though
as long as you put them all tip to tail
then you'll be fine
for example we could have arranged them
like this instead
they still form a perfect triangle which
means there's no resultant force
the last thing we need to look at is how
to resolve vectors
this is basically the opposite of what
we've been doing so far in this video
when you resolve a vector the aim is to
split it up into its horizontal and
vertical components
and to do this in practice we need to
use a scale drawing again
let's imagine that we have a toy car
and that we're exerting a force of 50
newtons on it to push it up the ramp
how do we resolve this force
well if we make our scale 10 newtons per
centimeter
then we could represent the 50 newton
force with a 5 centimeter line at the
same angle as the ramp
then all we have to do is draw a
horizontal line down here
and a vertical line up here
putting an arrow on each of them so that
we know their directions
then we just measure them with a ruler
to find that they're four centimeters
and three
centimeters and so looking at our scale
we can convert them to find that they
must be a 40 newton force to the right
and a 30 newton force upwards
so we've now resolved the 50 newton
force into its horizontal and vertical
components
that's everything for this video though
so i hope you enjoyed it if you did then
please do give us a like and subscribe
and hopefully we'll see you again soon
Просмотреть больше связанных видео
GCSE Physics - Resultant Forces & Free Body Diagrams #42
GCSE Physics - Contact and Non-Contact Forces #40
Physics 20: 2.3 2D Vectors
Dot Product and Force Vectors | Mechanics Statics | (Learn to solve any question)
Inclined plane force components | Forces and Newton's laws of motion | Physics | Khan Academy
Horizontal and Vertical Motions of a Projectile | Grade 9 Science Quarter 4 Week 1
5.0 / 5 (0 votes)