Page 1
technical science GRADE 10 159
c hapter 6 Simple machines
In this chapter the simple machines we study are levers. You will calculate the mechanical
advantage, load, effort, length of load arm and length of effort arm.
unit 6.1 levers are simple machines
When early people walked on Earth, their first implement was possibly a heavy stick, used for
killing to eat or for defence. The stick might also have been used to dig for roots, or to move
a rock.
When it moved a rock, that stick was being used as a lever. The lever made the job of moving
the rock feel easier – it gave early people what we call a mechanical advantage. Today, we call
things that give mechanical advantage machines.
So that early stick was a simple machine.
Figure 6.1 Early man’s stick was a simple machine.
Machines make a physical job easier by changing the magnitude of the input force needed to do
the work. Machines multiply our efforts and make it easier for us to do our work.
In Technology you worked with each of the three types of levers. For each type of lever you
learned to:
• describe the positions of the fulcrum, load and effort relative to each other
• state if a lever gives mechanical advantage (MA) of >1, or =1, or <1
• give examples of devices that use the different types of levers as single or paired levers
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 159 2015/12/17 10:02 AM
Page 2
technical science GRADE 10 159
c hapter 6 Simple machines
In this chapter the simple machines we study are levers. You will calculate the mechanical
advantage, load, effort, length of load arm and length of effort arm.
unit 6.1 levers are simple machines
When early people walked on Earth, their first implement was possibly a heavy stick, used for
killing to eat or for defence. The stick might also have been used to dig for roots, or to move
a rock.
When it moved a rock, that stick was being used as a lever. The lever made the job of moving
the rock feel easier – it gave early people what we call a mechanical advantage. Today, we call
things that give mechanical advantage machines.
So that early stick was a simple machine.
Figure 6.1 Early man’s stick was a simple machine.
Machines make a physical job easier by changing the magnitude of the input force needed to do
the work. Machines multiply our efforts and make it easier for us to do our work.
In Technology you worked with each of the three types of levers. For each type of lever you
learned to:
• describe the positions of the fulcrum, load and effort relative to each other
• state if a lever gives mechanical advantage (MA) of >1, or =1, or <1
• give examples of devices that use the different types of levers as single or paired levers
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 159 2015/12/17 10:02 AM
160 chapter 6 SIMPLE MACHINES
You use a lever whenever you turn the handle of a door, staple two pieces of paper together,
or cut a piece of paper.
Figure 6.2 Levers we use every day
Quick activity:
In your workbook, list six of any type of lever that you use every day.
All levers have three things in common:
• a fulcrum, which is the point around which the lever rotates as it does its job
• an effort (input), which is applied to the lever by the person using the lever to do a job
• a load (output), which the person using the lever intends to overcome or balance by using
the lever
types of levers
Figure 6.3 Every lever has a fulcrum, a load and an effort.
First-class lever Second-class lever Third-class lever
Fulcrum
Fulcrum
Fulcrum
Load
Effort
Load
Effort
Effort
Load
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 160 2015/12/17 10:02 AM
Page 3
technical science GRADE 10 159
c hapter 6 Simple machines
In this chapter the simple machines we study are levers. You will calculate the mechanical
advantage, load, effort, length of load arm and length of effort arm.
unit 6.1 levers are simple machines
When early people walked on Earth, their first implement was possibly a heavy stick, used for
killing to eat or for defence. The stick might also have been used to dig for roots, or to move
a rock.
When it moved a rock, that stick was being used as a lever. The lever made the job of moving
the rock feel easier – it gave early people what we call a mechanical advantage. Today, we call
things that give mechanical advantage machines.
So that early stick was a simple machine.
Figure 6.1 Early man’s stick was a simple machine.
Machines make a physical job easier by changing the magnitude of the input force needed to do
the work. Machines multiply our efforts and make it easier for us to do our work.
In Technology you worked with each of the three types of levers. For each type of lever you
learned to:
• describe the positions of the fulcrum, load and effort relative to each other
• state if a lever gives mechanical advantage (MA) of >1, or =1, or <1
• give examples of devices that use the different types of levers as single or paired levers
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 159 2015/12/17 10:02 AM
160 chapter 6 SIMPLE MACHINES
You use a lever whenever you turn the handle of a door, staple two pieces of paper together,
or cut a piece of paper.
Figure 6.2 Levers we use every day
Quick activity:
In your workbook, list six of any type of lever that you use every day.
All levers have three things in common:
• a fulcrum, which is the point around which the lever rotates as it does its job
• an effort (input), which is applied to the lever by the person using the lever to do a job
• a load (output), which the person using the lever intends to overcome or balance by using
the lever
types of levers
Figure 6.3 Every lever has a fulcrum, a load and an effort.
First-class lever Second-class lever Third-class lever
Fulcrum
Fulcrum
Fulcrum
Load
Effort
Load
Effort
Effort
Load
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 160 2015/12/17 10:02 AM
technical science GRADE 10 161
Have a look at Table 6.1 below. It is a summary of what you have learnt previously.
Table 6.1 Characteristics of the three types of levers
Type 1 Type 2 Type 3
Positions load/fulcrum/effort effort/load/fulcrum load/effort/fulcrum
Force
diagram
Fulcrum
Load
Effort
Fulcrum
Load
Effort
Fulcrum
Load
Effort
MA > 1 Yes Yes No
MA = 1 Yes No No
MA < 1 Yes No Yes
examples
Fulcrum
Load
Effort
Hammer
Load
Effort
Fulcrum
Bottle opener
Fulcrum
Effort
Hydraulic crane
Load
Fulcrum
Effort
Effort
Load
Tongs
Load
Effort
Effort
Fulcrum
Nut cracker Staple remover
Effort
Load
Effort
Fulcrum
Quick activity:
Who has a hammer, a bottle opener, a fishing rod, a pair of scissors, a nut cracker or a staple
remover at home? Arrange to bring all the objects in the table above, or similar objects, to the
next Technical Science lesson.
Once you have all handled all the objects, answer the following questions:
1. What is the difference between the pairs of objects in the two bottom rows in Table 6.1?
2. If the objects in the first row of examples are called levers, what do we call the objects in the
second row of examples?
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 161 2015/12/17 10:02 AM
Page 4
technical science GRADE 10 159
c hapter 6 Simple machines
In this chapter the simple machines we study are levers. You will calculate the mechanical
advantage, load, effort, length of load arm and length of effort arm.
unit 6.1 levers are simple machines
When early people walked on Earth, their first implement was possibly a heavy stick, used for
killing to eat or for defence. The stick might also have been used to dig for roots, or to move
a rock.
When it moved a rock, that stick was being used as a lever. The lever made the job of moving
the rock feel easier – it gave early people what we call a mechanical advantage. Today, we call
things that give mechanical advantage machines.
So that early stick was a simple machine.
Figure 6.1 Early man’s stick was a simple machine.
Machines make a physical job easier by changing the magnitude of the input force needed to do
the work. Machines multiply our efforts and make it easier for us to do our work.
In Technology you worked with each of the three types of levers. For each type of lever you
learned to:
• describe the positions of the fulcrum, load and effort relative to each other
• state if a lever gives mechanical advantage (MA) of >1, or =1, or <1
• give examples of devices that use the different types of levers as single or paired levers
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 159 2015/12/17 10:02 AM
160 chapter 6 SIMPLE MACHINES
You use a lever whenever you turn the handle of a door, staple two pieces of paper together,
or cut a piece of paper.
Figure 6.2 Levers we use every day
Quick activity:
In your workbook, list six of any type of lever that you use every day.
All levers have three things in common:
• a fulcrum, which is the point around which the lever rotates as it does its job
• an effort (input), which is applied to the lever by the person using the lever to do a job
• a load (output), which the person using the lever intends to overcome or balance by using
the lever
types of levers
Figure 6.3 Every lever has a fulcrum, a load and an effort.
First-class lever Second-class lever Third-class lever
Fulcrum
Fulcrum
Fulcrum
Load
Effort
Load
Effort
Effort
Load
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 160 2015/12/17 10:02 AM
technical science GRADE 10 161
Have a look at Table 6.1 below. It is a summary of what you have learnt previously.
Table 6.1 Characteristics of the three types of levers
Type 1 Type 2 Type 3
Positions load/fulcrum/effort effort/load/fulcrum load/effort/fulcrum
Force
diagram
Fulcrum
Load
Effort
Fulcrum
Load
Effort
Fulcrum
Load
Effort
MA > 1 Yes Yes No
MA = 1 Yes No No
MA < 1 Yes No Yes
examples
Fulcrum
Load
Effort
Hammer
Load
Effort
Fulcrum
Bottle opener
Fulcrum
Effort
Hydraulic crane
Load
Fulcrum
Effort
Effort
Load
Tongs
Load
Effort
Effort
Fulcrum
Nut cracker Staple remover
Effort
Load
Effort
Fulcrum
Quick activity:
Who has a hammer, a bottle opener, a fishing rod, a pair of scissors, a nut cracker or a staple
remover at home? Arrange to bring all the objects in the table above, or similar objects, to the
next Technical Science lesson.
Once you have all handled all the objects, answer the following questions:
1. What is the difference between the pairs of objects in the two bottom rows in Table 6.1?
2. If the objects in the first row of examples are called levers, what do we call the objects in the
second row of examples?
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 161 2015/12/17 10:02 AM
162 c hapter 6 SIMPLE MACHINES
unit 6.2 The law of Moments in levers
By tradition, the input force of a lever is called the effort and the output force is called the
load. We will continue to use those words, but you must remember that they are forces.
In Unit 4.1 in Chapter 4 we learnt that we need to know three things in order to calculate
a moment:
• the perpendicular distance from the line of the force to the fulcrum in metres
• the magnitude/size of the force in newtons
• the direction of the rotation: clockwise or anti-clockwise
Figure 6.4 The size of the moment (the turning force) depends on the size of F and the distance d.
d
F
In Figure 6.4 above, the size of the moment is given by the formula:
moment = force × perpendicular distance from the fulcrum to the line of the force
or, in symbols:
M = F × d
where:
• M is the symbol for moment measured in newton metres (N m)
• F is the symbol for force measured in newtons (N)
• d is the symbol for distance measured in metres (m)
The direction of the moment in the diagram is clockwise.
In Unit 4.2 in Chapter 4 we learnt how the Law of Moments applies to levers:
• When a force is applied to a lever it rotates.
• A moment (or turning effect) is created in a lever when an effort is applied to a lever. That
moment is resisted by the load that the lever is trying to move.
• The two moments oppose one another: one will be clockwise and one will be anti-clockwise.
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 162 2015/12/17 10:02 AM
Page 5
technical science GRADE 10 159
c hapter 6 Simple machines
In this chapter the simple machines we study are levers. You will calculate the mechanical
advantage, load, effort, length of load arm and length of effort arm.
unit 6.1 levers are simple machines
When early people walked on Earth, their first implement was possibly a heavy stick, used for
killing to eat or for defence. The stick might also have been used to dig for roots, or to move
a rock.
When it moved a rock, that stick was being used as a lever. The lever made the job of moving
the rock feel easier – it gave early people what we call a mechanical advantage. Today, we call
things that give mechanical advantage machines.
So that early stick was a simple machine.
Figure 6.1 Early man’s stick was a simple machine.
Machines make a physical job easier by changing the magnitude of the input force needed to do
the work. Machines multiply our efforts and make it easier for us to do our work.
In Technology you worked with each of the three types of levers. For each type of lever you
learned to:
• describe the positions of the fulcrum, load and effort relative to each other
• state if a lever gives mechanical advantage (MA) of >1, or =1, or <1
• give examples of devices that use the different types of levers as single or paired levers
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 159 2015/12/17 10:02 AM
160 chapter 6 SIMPLE MACHINES
You use a lever whenever you turn the handle of a door, staple two pieces of paper together,
or cut a piece of paper.
Figure 6.2 Levers we use every day
Quick activity:
In your workbook, list six of any type of lever that you use every day.
All levers have three things in common:
• a fulcrum, which is the point around which the lever rotates as it does its job
• an effort (input), which is applied to the lever by the person using the lever to do a job
• a load (output), which the person using the lever intends to overcome or balance by using
the lever
types of levers
Figure 6.3 Every lever has a fulcrum, a load and an effort.
First-class lever Second-class lever Third-class lever
Fulcrum
Fulcrum
Fulcrum
Load
Effort
Load
Effort
Effort
Load
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 160 2015/12/17 10:02 AM
technical science GRADE 10 161
Have a look at Table 6.1 below. It is a summary of what you have learnt previously.
Table 6.1 Characteristics of the three types of levers
Type 1 Type 2 Type 3
Positions load/fulcrum/effort effort/load/fulcrum load/effort/fulcrum
Force
diagram
Fulcrum
Load
Effort
Fulcrum
Load
Effort
Fulcrum
Load
Effort
MA > 1 Yes Yes No
MA = 1 Yes No No
MA < 1 Yes No Yes
examples
Fulcrum
Load
Effort
Hammer
Load
Effort
Fulcrum
Bottle opener
Fulcrum
Effort
Hydraulic crane
Load
Fulcrum
Effort
Effort
Load
Tongs
Load
Effort
Effort
Fulcrum
Nut cracker Staple remover
Effort
Load
Effort
Fulcrum
Quick activity:
Who has a hammer, a bottle opener, a fishing rod, a pair of scissors, a nut cracker or a staple
remover at home? Arrange to bring all the objects in the table above, or similar objects, to the
next Technical Science lesson.
Once you have all handled all the objects, answer the following questions:
1. What is the difference between the pairs of objects in the two bottom rows in Table 6.1?
2. If the objects in the first row of examples are called levers, what do we call the objects in the
second row of examples?
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 161 2015/12/17 10:02 AM
162 c hapter 6 SIMPLE MACHINES
unit 6.2 The law of Moments in levers
By tradition, the input force of a lever is called the effort and the output force is called the
load. We will continue to use those words, but you must remember that they are forces.
In Unit 4.1 in Chapter 4 we learnt that we need to know three things in order to calculate
a moment:
• the perpendicular distance from the line of the force to the fulcrum in metres
• the magnitude/size of the force in newtons
• the direction of the rotation: clockwise or anti-clockwise
Figure 6.4 The size of the moment (the turning force) depends on the size of F and the distance d.
d
F
In Figure 6.4 above, the size of the moment is given by the formula:
moment = force × perpendicular distance from the fulcrum to the line of the force
or, in symbols:
M = F × d
where:
• M is the symbol for moment measured in newton metres (N m)
• F is the symbol for force measured in newtons (N)
• d is the symbol for distance measured in metres (m)
The direction of the moment in the diagram is clockwise.
In Unit 4.2 in Chapter 4 we learnt how the Law of Moments applies to levers:
• When a force is applied to a lever it rotates.
• A moment (or turning effect) is created in a lever when an effort is applied to a lever. That
moment is resisted by the load that the lever is trying to move.
• The two moments oppose one another: one will be clockwise and one will be anti-clockwise.
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 162 2015/12/17 10:02 AM
technical science GRADE 10 163
Figure 6.5
Fulcrum Load
Effort
Clockwise
moment
Anti-clockwise
moment
levers in equilibrium
When we calculate moments in a lever, we have to freeze the action – the lever must not be
rotating when we analyse it. If the rotation has stopped, it means that the input moment is
balanced by the output moment. When the moments balance, we say that the lever is “in
equilibrium”. Look at the see-saw in Figure 6.6.
Figure 6.6 The sum of the clockwise moments equals the sum of the anti-clockwise moments,
so this see-saw is in equilibrium.
Clockwise
moment
Anti-clockwise
moment
Use the Law of Moments to analyse a lever in equilibrium:
sum of the clockwise moments = sum of the anti-clockwise moments
or, in symbols:
M
CW
= M
ACW
where:
• M is the symbol for moment measured in newton metres (N m)
TechSci_G10-LB-Eng-DBE3_9781431522842.indb 163 2015/12/17 10:02 AM
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