That means that if you use a simple machine to apply less force, you need to compensate by applying the force over a larger distance - for example, to lift up a weight or do some other work.
It is an inverse relationship. Force*Distance of input = Force*Distance of output. OrForce of input/Force of output = Distance of output/Distance of input.
Since we know by conservation of energy that no machine can output more energy than was put into it, the ideal case is represented by a machine in which the output energy is equal to the input energy. For simple geometries in which the forces are in the direction of the motion, we can characterize the ideal machine in terms of the work done as follows: Ideal Machine: Energy input = Energy outputWork input = Fedinput = Frdoutput = Work output From this perspective it becomes evident that a simple machine may multiply force. That is, a small input force can accomplish a task requiring a large output force. But the constraint is that the small input force must be exerted through a larger distance so that the work input is equal to the work output. You are trading a small force acting through a large distance for a large force acting through a small distance. This is the nature of all the simple machines above as they are shown. Of course it is also possible to trade a large input force through a small distance for a small output force acting through a large distance. This is also useful if what you want to achieve is a higher velocity. Many machines operate in this way. The expressions for the ideal mechanical advantages of these simple machines were obtained by determining what forces are required to produce equilibrium, since to move the machine in the desired direction you must first produce equilibrium and then add to the input force to cause motion. Both forceequilibrium and torque equilibrium are applied.
The ESPN NBA Trade Machine is an online service provided on the official ESPN website. The NBA Trade Machine allows users trade players between NBA teams. This allows users to see if the trade they are thinking of is valid and could actually happen in the real NBA in compliance with the NBA's trade rules. There is also an option to share the trade so that you can discuss it with other people.
The Saharan trade extended from the Sub-Saharan West African kingdoms across the Sahara desert to Europe. The Saharan Trade linked such African empires as Ghana, Mali, and Songhay to the European world.
It's pretty simple. The Europeans just gained wealth off the free labor.
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Simple machines lets you trade force for distance, or the other way around. Or they change the direction of a force.
Mechanical advantage
simple machines
Since we know by conservation of energy that no machine can output more energy than was put into it, the ideal case is represented by a machine in which the output energy is equal to the input energy. For simple geometries in which the forces are in the direction of the motion, we can characterize the ideal machine in terms of the work done as follows: Ideal Machine: Energy input = Energy outputWork input = Fedinput = Frdoutput = Work output From this perspective it becomes evident that a simple machine may multiply force. That is, a small input force can accomplish a task requiring a large output force. But the constraint is that the small input force must be exerted through a larger distance so that the work input is equal to the work output. You are trading a small force acting through a large distance for a large force acting through a small distance. This is the nature of all the simple machines above as they are shown. Of course it is also possible to trade a large input force through a small distance for a small output force acting through a large distance. This is also useful if what you want to achieve is a higher velocity. Many machines operate in this way. The expressions for the ideal mechanical advantages of these simple machines were obtained by determining what forces are required to produce equilibrium, since to move the machine in the desired direction you must first produce equilibrium and then add to the input force to cause motion. Both forceequilibrium and torque equilibrium are applied.
Since we know by conservation of energy that no machine can output more energy than was put into it, the ideal case is represented by a machine in which the output energy is equal to the input energy. For simple geometries in which the forces are in the direction of the motion, we can characterize the ideal machine in terms of the work done as follows: Ideal Machine: Energy input = Energy outputWork input = Fedinput = Frdoutput = Work output From this perspective it becomes evident that a simple machine may multiply force. That is, a small input force can accomplish a task requiring a large output force. But the constraint is that the small input force must be exerted through a larger distance so that the work input is equal to the work output. You are trading a small force acting through a large distance for a large force acting through a small distance. This is the nature of all the simple machines above as they are shown. Of course it is also possible to trade a large input force through a small distance for a small output force acting through a large distance. This is also useful if what you want to achieve is a higher velocity. Many machines operate in this way. The expressions for the ideal mechanical advantages of these simple machines were obtained by determining what forces are required to produce equilibrium, since to move the machine in the desired direction you must first produce equilibrium and then add to the input force to cause motion. Both forceequilibrium and torque equilibrium are applied.
time and distance.
More distance, less force
A block and tackle consists of a system of pulleys with a rope and hook. It is a simple machine which lets you lift a heavy weight more easily. We say it gives you a mechanical advantage,or that it is a force multiplier because it lets you trade a large distance by which you pull the rope using a small effort for a small distance lifting the heavy weight. An example is an engine hoist.
The simple machines - a lever for example - are usually designed so that you need less force. In compensation, you need to move the lever for a greater distance. This follows directly from the law of conservation of energy.
A pulley system is a force multiplier. That means you trade distance for force. You pull the rope a long way to lift the load a short way, but the force you need is reduced.
Work is the (force)*(distance)*(cosine of angle between force and distance). Therefore if you increase the force but the work remains the same either the distance has been reduced or the angle has changed.
where you trade over a long distance