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[[File:Balancedbeam.jpeg|right|thumb|200px|Beam balanced around a fulcrum]]
 
A [[simple machine]] that exhibits [[mechanical advantage]] is called a '''mechanical advantage device''' - e.g.:
 
* [[Lever]]: The [[Beam (structure)|beam]] shown is in static equilibrium around the [[wikt:fulcrum|fulcrum]]. This is due to the [[Moment (physics)|moment]] created by vector force ''"A"'' counterclockwise (moment ''A''*a) being in equilibrium with the moment created by vector force ''"B"'' clockwise (moment ''B''*b). The relatively low vector force ''"B"'' is translated in a relatively high vector force ''"A"''. The force is thus increased in the ratio of the forces ''A : B'', which is equal to the ratio of the distances to the fulcrum ''b : a''. This ratio is called the mechanical advantage. This idealised situation does not take into account friction.
 
* [[Wheel and axle]] motion (e.g. [[screwdriver]]s, [[doorknob]]s): A wheel is essentially a lever with one arm the distance between the axle and the outer point of the wheel, and the other the radius of the axle. Typically this is a fairly large difference, leading to a proportionately large mechanical advantage.  This allows even simple wheels with wooden axles running in wooden blocks to still turn freely, because their [[friction]] is overwhelmed by the rotational force of the wheel multiplied by the mechanical advantage.
 
* A [[block and tackle]] of multiple [[pulley]]s creates mechanical advantage, by having the flexible material looped over several pulleys in turn. Adding more loops and pulleys increases the mechanical advantage.
 
* [[Screw]]: A screw is essentially an [[inclined plane]] wrapped around a cylinder. The run over the rise of this inclined plane is the mechanical advantage of a screw.<ref>Fisher, pp. 69–70.</ref>
 
==Pulleys==
 
[[File:Four pulleys.svg|thumb|450px|Examples of rope and pulley systems illustrating mechanical advantage.]]
 
Consider lifting a weight with rope and pulleys. A rope looped through a pulley attached to a fixed spot, e.g. a barn roof rafter, and attached to the weight is called a ''single pulley''. It has an MA = 1 (assuming frictionless bearings in the pulley), meaning no mechanical advantage (or disadvantage) however advantageous the change in direction may be.
 
A ''single movable pulley'' has an MA of 2 (assuming frictionless bearings in the pulley).  Consider a pulley attached to a weight being lifted. A rope passes around it, with one end attached to a fixed point above, e.g. a barn roof rafter, and a pulling force is applied upward to the other end with the two lengths parallel.  In this situation the distance the lifter must pull the rope becomes twice the distance the weight travels, allowing the force applied to be halved.  Note: if an additional pulley is used to change the direction of the rope, e.g. the person doing the work wants to stand on the ground instead of on a rafter, the mechanical advantage is not increased.
 
By looping more ropes around more pulleys we can continue to increase the mechanical advantage. For example if we have two pulleys attached to the rafter, two pulleys attached to the weight, one end attached to the rafter, and someone standing on the rafter pulling the rope, we have a mechanical advantage of four. Again note: if we add another pulley so that someone may stand on the ground and pull down, we still have a mechanical advantage of four.
 
Here are examples where the fixed point is not obvious:
* A velcro strap on a shoe passes through a slot and folds over on itself. The slot is a movable pulley and the MA = 2.
* Two ropes laid down a ramp attached to a raised platform. A barrel is rolled onto the ropes and the ropes are passed over the barrel and handed to two workers at the top of the ramp. The workers pull the ropes together to get the barrel to the top. The barrel is a movable pulley and the MA = 2. If there is enough friction where the rope is pinched between the barrel and the ramp, the pinch point becomes the attachment point. This is considered a fixed attachment point because the rope above the barrel does not move relative to the ramp. Alternatively the ends of the rope can be attached to the platform.
* [[Block and tackle]]: MA = 2 or more, depending on design (see above)
 
==Screws==
 
The theoretical mechanical advantage for a screw can be calculated using the following equation:<ref>United States Bureau of Naval Personnel, p. 5-4.</ref>
 
:<math>MA = \frac{\pi d_m}{l}</math>
 
where
 
:''d<sub>m</sub>'' = the mean diameter of the screw thread
:''l'' = the [[lead (engineering)|lead]] of the screw thread
 
Note that the actual mechanical advantage of a screw ''system'' is greater, as a screwdriver or other screw driving system has a mechanical advantage as well.
 
* [[Inclined plane]]: MA = length of slope ÷ height of the slope
 
==See also==
* [[Balanced arm lamps]]
* [[Gear ratio]]
* [[Simple Machine]]
 
==References==
===Notes===
{{reflist}}
 
===Bibliography===
*{{Citation | last = Fisher | first = Len | title = How to Dunk a Doughnut: The Science of Everyday Life | publisher = Arcade Publishing | year = 2003 | url = http://books.google.com/?id=VuK7m3LU8rgC | isbn = 978-1-55970-680-3}}.
*{{Citation | last = United States Bureau of Naval Personnel | title = Basic machines and how they work | publisher = Courier Dover Publications | year = 1971 | edition = Revised 1994 | url = http://books.google.com/?id=yDKzy4rKEg0C | isbn = 978-0-486-21709-3}}.
 
==External links==
* [http://www.technologystudent.com/gears1/geardex1.htm Gears and pulleys]
* [http://www.swe.org/iac/lp/pulley_03.html Mechanical engineering &mdash; pulleys]
* [http://ca.youtube.com/watch?v=yfAdmRJDKIc Mechanical advantage &mdash; video]
 
[[Category:Simple machines]]
[[Category:Mechanical engineering]]
[[Category:Mechanics]]
 
[[de:Kraftwandler]]
[[nl:Mechanische versterker]]
[[no:Gir]]
[[sv:Växel (maskinteknik)]]

Revision as of 04:22, 22 March 2013

Beam balanced around a fulcrum

A simple machine that exhibits mechanical advantage is called a mechanical advantage device - e.g.:

  • Lever: The beam shown is in static equilibrium around the fulcrum. This is due to the moment created by vector force "A" counterclockwise (moment A*a) being in equilibrium with the moment created by vector force "B" clockwise (moment B*b). The relatively low vector force "B" is translated in a relatively high vector force "A". The force is thus increased in the ratio of the forces A : B, which is equal to the ratio of the distances to the fulcrum b : a. This ratio is called the mechanical advantage. This idealised situation does not take into account friction.
  • Wheel and axle motion (e.g. screwdrivers, doorknobs): A wheel is essentially a lever with one arm the distance between the axle and the outer point of the wheel, and the other the radius of the axle. Typically this is a fairly large difference, leading to a proportionately large mechanical advantage. This allows even simple wheels with wooden axles running in wooden blocks to still turn freely, because their friction is overwhelmed by the rotational force of the wheel multiplied by the mechanical advantage.
  • A block and tackle of multiple pulleys creates mechanical advantage, by having the flexible material looped over several pulleys in turn. Adding more loops and pulleys increases the mechanical advantage.
  • Screw: A screw is essentially an inclined plane wrapped around a cylinder. The run over the rise of this inclined plane is the mechanical advantage of a screw.[1]

Pulleys

Examples of rope and pulley systems illustrating mechanical advantage.

Consider lifting a weight with rope and pulleys. A rope looped through a pulley attached to a fixed spot, e.g. a barn roof rafter, and attached to the weight is called a single pulley. It has an MA = 1 (assuming frictionless bearings in the pulley), meaning no mechanical advantage (or disadvantage) however advantageous the change in direction may be.

A single movable pulley has an MA of 2 (assuming frictionless bearings in the pulley). Consider a pulley attached to a weight being lifted. A rope passes around it, with one end attached to a fixed point above, e.g. a barn roof rafter, and a pulling force is applied upward to the other end with the two lengths parallel. In this situation the distance the lifter must pull the rope becomes twice the distance the weight travels, allowing the force applied to be halved. Note: if an additional pulley is used to change the direction of the rope, e.g. the person doing the work wants to stand on the ground instead of on a rafter, the mechanical advantage is not increased.

By looping more ropes around more pulleys we can continue to increase the mechanical advantage. For example if we have two pulleys attached to the rafter, two pulleys attached to the weight, one end attached to the rafter, and someone standing on the rafter pulling the rope, we have a mechanical advantage of four. Again note: if we add another pulley so that someone may stand on the ground and pull down, we still have a mechanical advantage of four.

Here are examples where the fixed point is not obvious:

  • A velcro strap on a shoe passes through a slot and folds over on itself. The slot is a movable pulley and the MA = 2.
  • Two ropes laid down a ramp attached to a raised platform. A barrel is rolled onto the ropes and the ropes are passed over the barrel and handed to two workers at the top of the ramp. The workers pull the ropes together to get the barrel to the top. The barrel is a movable pulley and the MA = 2. If there is enough friction where the rope is pinched between the barrel and the ramp, the pinch point becomes the attachment point. This is considered a fixed attachment point because the rope above the barrel does not move relative to the ramp. Alternatively the ends of the rope can be attached to the platform.
  • Block and tackle: MA = 2 or more, depending on design (see above)

Screws

The theoretical mechanical advantage for a screw can be calculated using the following equation:[2]

where

dm = the mean diameter of the screw thread
l = the lead of the screw thread

Note that the actual mechanical advantage of a screw system is greater, as a screwdriver or other screw driving system has a mechanical advantage as well.

See also

References

Notes

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

Bibliography

  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

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    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

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  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010.

External links

de:Kraftwandler nl:Mechanische versterker no:Gir sv:Växel (maskinteknik)

  1. Fisher, pp. 69–70.
  2. United States Bureau of Naval Personnel, p. 5-4.