### The 6 Simple Machines

```The 6 Simple Machines
Inclined Plane
Screw
Pulley
Lever
Wedge
Wheel and Axle
Definitions:
Energy: Ability to do work
Work= Force x Distance
Force: A Push or a Pull
Inclined Plane
Inclined Plane

The Egyptians used simple machines to build the
pyramids. One method was to build a very long
incline out of dirt that rose upward to the top of the
pyramid very gently. The blocks of stone were
placed on large logs (another type of simple machine
- the wheel and axle) and pushed slowly up the long,
gentle inclined plane to the top of the pyramid.
Inclined Planes

An inclined plane is
a flat surface that is
higher on one end
 Inclined planes
make the work of
moving things easier
Work input and output
 Work
input is the amount of work
done on a machine.
 Input force x input distance
 Work
output is the amount of work
done by a machine.
 Output force x output distance
Wout = Win
Dout
Fout x Dout = Fin x Din
3m
10N x 3m = 2N x 15m
10 N
Din 15 m
Fin


The mechanical
inclined plane is equal
to the length of the
slope divided by the
height of the inclined
plane.
While the inclined
plane produces a
it does so by
increasing the distance
through which the
force must move.
Screw
The mechanical advantage of an screw can be
calculated by dividing the circumference by the pitch of
the screw.
Pitch equals 1/ number of turns per inch.
Wedges
Two inclined
planes joined
back to back.
 Wedges are used
to split things.


The mechanical advantage of a wedge can be found
by dividing the length of either slope (S) by the
thickness (T) of the big end.
S
T

As an example, assume that the length of the slope
is 10 inches and the thickness is 4 inches. The
mechanical advantage is equal to 10/4 or 2 1/2. As
with the inclined plane, the mechanical advantage
gained by using a wedge requires a corresponding
increase in distance.
First Class Lever
Fulcrum is between EF (effort) and RF (load)
Effort moves farther than Resistance.
Multiplies EF and changes its direction
The mechanical advantage of a lever is the ratio of the length
of the lever on the applied force side of the fulcrum to the
length of the lever on the resistance force side of the fulcrum.
First Class Lever
.

Common examples
of first-class
levers include
crowbars, scissors,
pliers, tin snips and
seesaws.
Second Class Lever
RF (load) is between fulcrum and EF
Effort moves farther than Resistance.
Multiplies EF, but does not change its direction
The mechanical advantage of a lever is the ratio of the
distance from the applied force to the fulcrum to the
distance from the resistance force to the fulcrum.
Second Class Lever
 Examples
of
second-class
levers include
nut crackers,
wheel barrows,
doors, and
bottle openers.
Third Class Lever
EF is between fulcrum and RF (load)
Does not multiply force
Resistance moves farther than Effort.
Multiplies the distance the effort force travels
The mechanical advantage of a lever is the ratio of the
distance from the applied force to the fulcrum to the
distance of the resistance force to the fulcrum
Third Class Lever
 Examples
of
third-class
levers include
tweezers, arm
hammers, and
shovels.
Pulleys

Pulley are wheels
and axles with a
groove around the
outside
 A pulley needs a
rope, chain or belt
around the groove
to make it do work
Diagrams of Pulleys
Fixed pulley:
Movable Pulley:
A fixed pulley changes the
direction of a force;
however, it does not create
of a moveable pulley is
equal to the number of
ropes that support the
moveable pulley.
COMBINED PULLEY

The effort needed to
than half the weight
 The main
travels a very long
distance.
WHEEL AND AXEL

The axle is stuck
rigidly to a large
are attached to the
wheel. When the
axel turns, the fan
Wheel and Axel

The mechanical advantage of a wheel and axle is the
ratio of the radius of the wheel to the radius of the axle.
1

5
In the wheel and axle illustrated above, the radius of the
wheel is five times larger than the radius of the axle.
Therefore, the mechanical advantage is 5:1 or 5.
 The wheel and axle can also increase speed by
applying the input force to the axle rather than a wheel.
This increase is computed like mechanical advantage.
This combination would increase the speed 5 times.
GEARS-Wheel and Axel

Each gear in a
series reverses the
direction of
rotation of the
previous gear. The
smaller gear will
always turn faster
than the larger
gear.
Rube Goldberg Machines




Rube Goldberg machines are
examples of complex machines.
up of combinations of simple
machines.
Rube Goldberg machines are
usually a complicated combination
of simple machines.
By studying the components of
Rube Goldberg machines, we
The text passage provides definitions and explanations of the six simple machines, including inclined planes, screws, pulleys, levers, wedges, and wheel and axles. It also includes some basic calculations and examples of mechanical advantage.
no_question

the passage does not contain any explicit mathematical questions or problems that require solving. it provides information and examples but does not ask the reader to perform any calculations or solve any problems.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
### The 6 Simple Machines

```The 6 Simple Machines
Inclined Plane
Screw
Pulley
Lever
Wedge
Wheel and Axle
Definitions:
Energy: Ability to do work
Work= Force x Distance
Force: A Push or a Pull
Inclined Plane
Inclined Plane

The Egyptians used simple machines to build the
pyramids. One method was to build a very long
incline out of dirt that rose upward to the top of the
pyramid very gently. The blocks of stone were
placed on large logs (another type of simple machine
- the wheel and axle) and pushed slowly up the long,
gentle inclined plane to the top of the pyramid.
Inclined Planes

An inclined plane is
a flat surface that is
higher on one end
 Inclined planes
make the work of
moving things easier
Work input and output
 Work
input is the amount of work
done on a machine.
 Input force x input distance
 Work
output is the amount of work
done by a machine.
 Output force x output distance
Wout = Win
Dout
Fout x Dout = Fin x Din
3m
10N x 3m = 2N x 15m
10 N
Din 15 m
Fin


The mechanical
inclined plane is equal
to the length of the
slope divided by the
height of the inclined
plane.
While the inclined
plane produces a
it does so by
increasing the distance
through which the
force must move.
Screw
The mechanical advantage of an screw can be
calculated by dividing the circumference by the pitch of
the screw.
Pitch equals 1/ number of turns per inch.
Wedges
Two inclined
planes joined
back to back.
 Wedges are used
to split things.


The mechanical advantage of a wedge can be found
by dividing the length of either slope (S) by the
thickness (T) of the big end.
S
T

As an example, assume that the length of the slope
is 10 inches and the thickness is 4 inches. The
mechanical advantage is equal to 10/4 or 2 1/2. As
with the inclined plane, the mechanical advantage
gained by using a wedge requires a corresponding
increase in distance.
First Class Lever
Fulcrum is between EF (effort) and RF (load)
Effort moves farther than Resistance.
Multiplies EF and changes its direction
The mechanical advantage of a lever is the ratio of the length
of the lever on the applied force side of the fulcrum to the
length of the lever on the resistance force side of the fulcrum.
First Class Lever
.

Common examples
of first-class
levers include
crowbars, scissors,
pliers, tin snips and
seesaws.
Second Class Lever
RF (load) is between fulcrum and EF
Effort moves farther than Resistance.
Multiplies EF, but does not change its direction
The mechanical advantage of a lever is the ratio of the
distance from the applied force to the fulcrum to the
distance from the resistance force to the fulcrum.
Second Class Lever
 Examples
of
second-class
levers include
nut crackers,
wheel barrows,
doors, and
bottle openers.
Third Class Lever
EF is between fulcrum and RF (load)
Does not multiply force
Resistance moves farther than Effort.
Multiplies the distance the effort force travels
The mechanical advantage of a lever is the ratio of the
distance from the applied force to the fulcrum to the
distance of the resistance force to the fulcrum
Third Class Lever
 Examples
of
third-class
levers include
tweezers, arm
hammers, and
shovels.
Pulleys

Pulley are wheels
and axles with a
groove around the
outside
 A pulley needs a
rope, chain or belt
around the groove
to make it do work
Diagrams of Pulleys
Fixed pulley:
Movable Pulley:
A fixed pulley changes the
direction of a force;
however, it does not create
of a moveable pulley is
equal to the number of
ropes that support the
moveable pulley.
COMBINED PULLEY

The effort needed to
than half the weight
 The main
travels a very long
distance.
WHEEL AND AXEL

The axle is stuck
rigidly to a large
are attached to the
wheel. When the
axel turns, the fan
Wheel and Axel

The mechanical advantage of a wheel and axle is the
ratio of the radius of the wheel to the radius of the axle.
1

5
In the wheel and axle illustrated above, the radius of the
wheel is five times larger than the radius of the axle.
Therefore, the mechanical advantage is 5:1 or 5.
 The wheel and axle can also increase speed by
applying the input force to the axle rather than a wheel.
This increase is computed like mechanical advantage.
This combination would increase the speed 5 times.
GEARS-Wheel and Axel

Each gear in a
series reverses the
direction of
rotation of the
previous gear. The
smaller gear will
always turn faster
than the larger
gear.
Rube Goldberg Machines




Rube Goldberg machines are
examples of complex machines.
up of combinations of simple
machines.
Rube Goldberg machines are
usually a complicated combination
of simple machines.
By studying the components of
Rube Goldberg machines, we
user
The text passage provides definitions and explanations of the six simple machines, including inclined planes, screws, pulleys, levers, wedges, and wheel and axles. It also includes some basic calculations and examples of mechanical advantage.

TYPE: NO_QUESTION

The passage does not contain any explicit mathematical questions or problems that require solving. It provides information and examples but does not ask the reader to perform any calculations or solve any problems.