Topics: Simple machine, Mechanical advantage, Force Pages: 5 (856 words) Published: September 22, 2013

Activity 1.1.2 Simple Machines Practice Problems Answer Key

Procedure
Answer the following questions regarding simple machine systems. Each question requires proper illustration and annotation, including labeling of forces, distances, direction, and unknown values. Illustrations should consist of basic simple machine functional sketches rather than realistic pictorials. Be sure to document all solution steps and proper units.

All problem calculations should assume ideal conditions and no friction loss.

Simple Machines – Lever
A first class lever in static equilibrium has a 50lb resistance force and 15lb effort force. The lever's effort force is located 4 ft from the fulcrum.

1.Sketch and annotate the lever system described above.

2.What is the actual mechanical advantage of the system?

3.Using static equilibrium calculations, calculate the length from the fulcrum to the resistance force. FormulaSubstitute / SolveFinal Answer

A wheel barrow is used to lift a 200 lb load. The length from the wheel axle to the center of the load is 2 ft. The length from the wheel and axle to the effort is 5 ft.

4.Illustrate and annotate the lever system described above.

5.What is the ideal mechanical advantage of the system?
FormulaSubstitute / SolveFinal Answer

6.Using static equilibrium calculations, calculate the effort force needed to overcome the resistance force in the system. FormulaSubstitute / SolveFinal Answer

A medical technician uses a pair of four inch long tweezers to remove a wood sliver from a patient. The technician is applying 1 lb of squeezing force to the tweezers. If more than 1/5 lb of force is applied to the sliver, it will break and become difficult to remove.

7.Sketch and annotate the lever system described above.

8.What is the actual mechanical advantage of the system?
FormulaSubstitute / SolveFinal Answer

9.Using static equilibrium calculations, calculate how far from the fulcrum the tweezers must be held to avoid damaging the sliver FormulaSubstitute / SolveFinal Answer

Simple Machines – Wheel and Axle
10. What is the linear distance traveled in one revolution of a 36 in. diameter wheel? FormulaSubstitute / SolveFinal Answer

An industrial water shutoff valve is designed to operate with 30 lb of effort force. The valve will encounter 200 lb of resistance force applied to a 1.5 in. diameter axle.

11.Sketch and annotate the wheel and axle system described above.

12.What is the required actual mechanical advantage of the system? FormulaSubstitute / SolveFinal Answer

13.What is the required wheel diameter to overcome the resistance force? FormulaSubstitute / SolveFinal Answer

Simple Machines – Pulley System
A construction crew lifts approximately 560 lb of material several times during a day from a flatbed truck to a 32 ft rooftop. A block and tackle system with 50 lb of effort force is designed to lift the materials.

14.What is the required actual mechanical advantage?
FormulaSubstitute / SolveFinal Answer

15.How many supporting strands will be needed in the pulley system? FormulaSubstitute / SolveFinal Answer

A block and tackle system with nine supporting strands is used to lift a metal lathe in a manufacturing facility. The motor being used to wind the cable in the pulley system can provide 100 lb of force.

16.What is the mechanical advantage of the system?
FormulaSubstitute / SolveFinal Answer

17.What is the maximum weight of the lathe?
FormulaSubstitute / SolveFinal Answer

Simple Machines – Inclined Plane
A civil engineer...

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How Simple Machines Work

What is a and how do they work? I"m so glad you asked! Machines make work easier by changing the size of force, direction of force, or distance the force acts on.

Lifting a car with a flat tire and loosening the lugnuts can be accomplished by a single person thanks to simple machines. The jack and lug wrench are simple machines that alter the force needed to change the tire.

Six Simple Machines

Simple machines are basic devices used to alter the force needed to accomplish a task. There are six types of simple machines.

• lever
• wheel and axle
• inclined plane
• wedge
• screw
• pulley

The first type of simple machine is the lever. A lever is a rigid bar that rotates on the fixed point of a fulcrum and changes the distance or size of a force.

There are three classes of levers. A first class lever has an input force and output force on either side of the fulcrum. This causes the output to move in the opposite direction of the input force. An example of a first class lever is a see-saw. A second class lever has an output force between the input force and fulcrum. This changes the distance of the force. A wheelbarrow is a second class lever. The third class lever has the input force between the output and fulcrum. A broom is a third class lever.

Wheel and Axle

The wheel and axle make work easier by changing the distance the force acts on. A wheel and axle consists of two disks or

cylinders with different radiuses. Examples are a steering wheel and shaft, a car wheel and axle, and a screwdriver.

Inclined Plane

An is a slanted surface on which a force can move an object to a different elevation. Why do gentler slopes and ramps require less energy to move a load on? Because the input force required to travel the greater distance of a slope is changed to the smaller distance of the output force – the upward motion.

A wedge is a device made of two back to back inclined planes and is used to split objects. When a wedge is driven into a log, the size of the input force at the wider top of the wedge is changed to greater output force at the narrower point forcing the wedge through the wood. Knife blades are an example of a wedge.

A screw is an inclined plane wrapped around a cylinder. Screws with threads closer together require

less force to turn because the length of the inclined plane is longer. Nuts and bolts are screws. A nut is a screw with the threads on the inside.

The last type of simple machine is the pulley. A pulley consists of a rope that fits into a groove in a wheel. A pulley makes work easier by changing the direction or direction and size of the force.

There are three. They are the fixed pulley, moveable pulley and pulley system.

The fixed pulley is a single fixed pulley and rope. This changes the output direction of the force, making it opposite of the input. When you pull down on a fixed pulley a weight is lifted up.

A moveable pulley is fixed to the object being moved instead of a fixed location. Moveable pulleys multiply the input force needed to lift a heavy object thus reducing the force needed to lift heavy objects. Moveable pulleys are used to move ship sails and window washer platforms.

Pulley systems combine fixed and moveable pulleys to create large mechanical advantages. A crane uses pulley systems to lift enormous loads like locomotives.

References

• Michael Wysession, David Frank, Sophia Yancopoulos. Physical Science Concepts in Action. p.417 – 435. New Jersey: Prentice Hall, 2004.

Simple machines can be used to make work easier and faster. Compound machines are basically simple machines placed together to work together. Work is force acting on an object that moves it a distance (W=F*d). A simple machine must have some force applied to it to do work. Simple machines let us use a small force to beat bigger forces. They can also change the direction of the force. Keep in mind that a simple machine cannot create energy (F input * d input = F output * d output). If you want the force output to be big and distance output to be small, you need to have a big distance input and a small force input. If you want the force output to be small and the distance output to be large, then the force input needs to be large and the distance input to be small (Fd = Fd). There are three simple machines will be focus on for this project: lever, pulley, and wheel and axle. .
The lever is used in seesaws, shovels, hammers, and other everyday objects. A lever consists of three main parts: the fulcrum, rod, and the load the machine is acting on it. The fulcrum, or fixed point, allows the rod to move up and down freely. There are three classes of levers, but for this project a will be using the second-class lever. This lever allows us to use less force to act on the load. In other words, less force and more distance will be inputted to result in more force and less distance. This kind of lever in usually used to move heavy objects. The fulcrum is closer to the load to achieve this. This simple machine will probably be the best to lift the soda can. Most of the lever can be built out of wood. The fulcrum may be made out of metal or wood. .
The pulley is used in cranes. Pulleys usually lift the load. A pulley changes the direction in the force to do that. A pulley is used to change the direction of the force. It can also multiply forces depending on the type. In this project a type one and two pulley will be used.

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Technology and machines have become more advanced we have grown accustomed to having machines such as computers and cars in our everyday lives. Our own machines will soon surpass our own intelligence. ... Machines have played a vital role in our lives. ... When they were first created a computer that had the power of one of today"s simple five dollar calculators required so much space to hold all of their necessary equipment it could take up a whole room, but the simple machine known today can be made so small it can not even be handled by a human due to its s...

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3.

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Rage Against The Machine At first thought a band standing on stage naked for 15 minutes without saying a word or playing a single note might seem lewd, but after finding that they were silently protesting censorship one might think differently of them. Rage Against the Machine (RATM) is probably one of the most atypical bands that one could ever find. ... Believe it or not there are bands who care less about money and more about issues and Rage Against the Machine is one of them. ... The majority of their songs were primarily written as activist poetry by Zack de la Rocha (lead singer ...

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Personally thinking, technology makes people's life simpler than making people's lives more complicated because newly developed devices, improvement of living condition and efficient transportation. ... All of those technologies can help people get a simpler and easier lives. ... Thus, technology has more benefits can be discovered, and it makes lives simpler rather than more complicated. In conclusion, although technology may be a little bit complicated, when we count it use on machines, communication, information, and transportation, it is more pure and effortless for our lives. ...

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A simple distinction between both groups is that humans depend on organization where as animals do not. The Time Machine by H.G. ...Unlike the Eloi, the Morlocks have a curiosity for knowledge which is why they take the time machine. ... When the time machine is returned to him, he notices that it is very clean and well oiled. ... Wells illustrates this quite well in The Time Machine. ...

Topic 9 Simple Machines

A screwdriver is used to pry the lid off a can of paint. What type of lever is the screwdriver in this instance? 1st Class Lever 2nd Class Lever 3rd Class Lever It's actually acting as an inclined plane. 10

12 3.0 8.3 25 75 10

29 1.7 3.5 28 350 10

Participant Scores 12 Jacob Joey Daniel David Nicole B.

A single pulley is used to hoist a safe with a mass of 45. 0 kg
A single pulley is used to hoist a safe with a mass of 45.0 kg. If the machine is 100% efficient, what effort force will be required to hoist the safe? 45.0 N 90.0 N 205 N 266 N 441 N 10

A snow shovel is an example of which type of lever? (Hint: The handle of the shovel is the fulcrum.) 1st Class 2nd Class 3rd Class 10

How long must an inclined plane be to push a 100 kg object to a height of 2.0 meters using a force of 200 N? Friction can be ignored. 2.0 m 9.8 m 50 m 100 m 200 m 400 m 10

A wheel and axle machine requires an effort force of 5.0 N to lift a load with a mass of 5.1 kg. If the machine is ideal and has a wheel radius of 12 cm, what is the radius of the axle? 1.0 cm 1.2 cm 5.0 cm 10 cm 1.2 m 2.4 m 10

Participant Scores 28 Jacob Joey Daniel David Mackenzie

20 N 25 N 196 N 245 N 1960 N Answer Now 10

What force will be required to push a 500 N box to a height of 2.50 meters on a ramp that is 10.0 meters long and 85% efficient? 4.00 N 50.0 N 106 125 N 147 N 10

1 2 3 4 5 10

0.50 1.00 1.50 2.00 2.50 Answer Now 10

Participant Scores 44 Jacob Mackenzie 39 Nicole F. Joey Daniel

A ramp is 12 meters long and 3.0 meters high. It takes 145 N of force to push a 400 N crate up the ramp. Determine the efficiency of the ramp. .36 % .69 % 3.0 % 8.2 % 36 % 69 % 145 % 10

An object is placed 1. 75 meters from the fulcrum of a lever
An object is placed 1.75 meters from the fulcrum of a lever. The effort force is 0.50 meters from the fulcrum. What is the actual mechanical advantage if the lever is 95% efficient?.271 .286 .301 3.33 3.50 3.68 Answer Now 10

20% 31% 69% 80% 87% 96% Answer Now 10

Participant Scores 56 Jacob Mackenzie 51 Nicole F. Joey Daniel

A certain ramp is 10 meters long and is 50% efficient
A certain ramp is 10 meters long and is 50% efficient. It requires 25 N of force to push a 50 N crate up the ramp. How tall is the ramp? 1.0 m 2.0 m 2.5 m 3.5 m 4.0 m 5.0 m 22
Participant 1 Participant 2 Participant 3 Participant 4 Participant 5 Participant 6 Participant 7 Participant 8 Participant 9 Participant 10

A lever is a simple machine that allows you to gain a mechanical advantage in moving an object or in applying a force to an object. It is considered a "pure" simple machine because friction is usually so small that it is not considered a factor to overcome, as in other simple machines.

A lever consists of a rigid bar or beam that is allowed to rotate or pivot about a fulcrum. An applied force is then used to move a load. There are three common types or classes of levers, depending on where the fulcrum and applied force is located.

The mechanical advantage is that you can move a heavy object using less force than the weight of the object, you can propel an object faster by applying a force at a slower speed, or you can move an object further than the distance you apply to the lever.

Questions you may have include:

• What are the parts of a lever?
• What are the three types or classes of levers?
• What are the uses for a lever?

This lesson will answer those questions. Useful tool: Units Conversion

A typical lever consists of a solid board or rod that can pivot about a point or fulcrum. Since humans usually provide energy to levers, "effort" and "load" are often used instead of input and output.

An input force or effort is applied, resulting in moving or applying an output force to a load.

The distance from the applied force or effort force to the fulcrum is called the effort or input arm and the distance from the load to the fulcrum is called the load or output arm.

Since there is typically a very small amount of friction at the fulcrum, overcoming friction is not a factor in a lever as it might be in another simple machine like a ramp or wedge. Thus, we consider a lever a pure simple machine.

Lever configurations

There are three types or classes of levers, according to where the load and effort are located with respect to the fulcrum.

Class 1

A class 1 lever has the fulcrum placed between the effort and load. The movement of the load is in the opposite direction of the movement of the effort. This is the most typical lever configuration.

Class 2

A class 2 lever has the load between the effort and the fulcrum. In this type of lever, the movement of the load is in the same direction as that of the effort. Note that the length of the effort arm goes all the way to the fulcrum and is always greater than the length of the load arm in a class 2 lever.

Class 3

A class 3 lever has the effort between the load and the fulcrum. Both the effort and load are in the same direction. Because of the configuration, the fulcrum must prevent the lever beam from moving upward or downward. Often a bearing is used to allow the beam to pivot.

Note that the length of the load arm goes all the way to the fulcrum and is always greater than the length of the effort arm in a class 3 lever. The result is a force mechanical advantage less than 1.

Uses for a lever

The reason for a lever is that you can use it for a mechanical advantage in lifting heavy loads, moving things a greater distance or increasing the speed of an object.

Increase force

Increase distance moved

You can increase the applied force in order to lift heavier loads.

Increase speed

You can increase the speed that the load moves with Class 1 or Class 3 levers.

Summary

A lever is a simple machine that allows you to gain a mechanical advantage. It consists of a consists of a rigid bar or beam that is allowed to rotate or pivot about a fulcrum, along with an applied force and load. The three types or classes of levers, depend on where the fulcrum and applied force is located.

Uses for a lever are that you can move a heavy object using less force than the weight of the object, propel an object faster by applying a force at a slower speed, or move an object further than the distance you apply to the lever.

Leveraging gives you an advantage