A is a rigid object used to make it easier to move a large load a short distance or a small load a large distance. There are three , and all three classes are present in the body. For example, the forearm is a because the biceps pulls on the forearm between the joint (fulcrum) and the ball (load). To see these body levers in action check out this short video animation identifying levers in the body.
Using the standard terminology of levers, the forearm is the , the biceps is the , the elbow joint is the , and the ball is the . When the resistance is caused by the weight of an object we call it the . The are identified by the relative location of the resistance, fulcrum and effort. have the fulcrum in the middle, between the load and resistance. have resistance in the middle. have the effort in the middle.
For all levers the and () are actually just that are creating because they are trying to rotate the lever. In order to move or hold a load the torque created by the effort must be large enough to balance the torque caused by the load. Remembering that torque increases as the force is applied farther from the , the effort needed to balance the resistance must depend on the distances of the effort and resistance from the pivot. These distances are known as the and (load arm).
Identify the created by the foot and the calf muscle when raising the heel off the ground.
The ratio of to is known as the (MA). For example if you used a (like a wheelbarrow) to move 200 lbs of dirt by lifting with only 50 lbs of effort the mechanical advantage would be four.
Increasing reduces the size of the effort needed to balance the load, which means greater mechanical advantage. In fact for a lever, the mechanical advantage is equal to the ratio of the to .
We are now ready to determine the bicep tension in our forearm problem. The effort arm was 1.5 in and the load arm was 13.0 in, so the load arm is 8.667 times longer than the effort arm.
That means that the effort needs to be 8.667 times larger than the load, so for the 50 lb load the bicep tension would need to be 433 lbs! That may seem large, but we will find out that such forces are common in the tissues of the body!
*Adjusting Significant Figures
Finally, we should make sure our answer has the correct . The weight of the ball in the example is not written in , so it’s not really clear if the zeros are placeholders or if they are significant. Let’s assume the values were not measured, but were chosen hypothetically, in which case they are exact numbers like in a definition and don’t affect the significant figures. The forearm length measurement includes zeros behind the decimal that would be unnecessary for a definition, so they suggest a level of in a measurement. We used those values in multiplication and division so we should round the answer to only two significant figures, because 1.5 in only has two (13.0 in has three). In that case we round our bicep tension to 430 lbs, which we can also write in scientific notation: .
Calculate the mechanical advantage of the lever system in our forearm example. [Hint: your answer should be less than one.]
Range of Motion
We normally think of as helping us to use less to hold or move large , so our results for the forearm example might seem odd because we had to use a larger effort than the load. The bicep attaches close to the elbow so the is much shorter than the and the is less than one. That means the force provided by the bicep has to be much larger than the weight of the ball. That seems like a mechanical disadvantage, so how is that helpful? If we look at how far the weight moved compared to how far the bicep contracted when lifting the weight from a horizontal position we see that the purpose of the forearm lever is to increase rather than decrease required.
Looking at the similar triangles in a stick diagram of the forearm we can see that the ratio of the distances moved by the and must be the same as the ratio of to . That means increasing the effort arm in order to decrease the size of the effort required will also decrease the by the same factor. Therefore the load was moved 8.667x farther than the distance contracted by the biceps muscle in our forearm example.
It’s interesting to note that while moving the attachment point of the bicep 20% closer to the hand would make you 20% stronger, you would then be able to move your hand over a 20% smaller range.
For the is always farther from the fulcrum than the , so they will always increase , but that means they will always increase the amount of effort required by the same factor. Even when the effort is larger than the load as for third class levers, we can still calculate a , but it will come out to be less than one.
always have the load farther from the pivot than the effort, so they will always allow a smaller effort to move a larger load, giving a greater than one.
can either provide or increase , depending on if the effort arm or load arm is longer, so they can have mechanical advantages of greater, or less, than one.
A lever cannot provide mechanical advantage and increase range of motion at the same time, so each type of lever has advantages and disadvantages:
|3rd||Range of MotionThe load moves farther than the effort.
(Short bicep contraction moves the hand far)
|Effort RequiredRequires larger effort to hold smaller load.
(Bicep tension greater than weight in hand)
|2nd||Effort RequiredSmaller effort will move larger load.
(One calf muscle can lift entire body weight)
|Range of MotionThe load moves a shorter distance than the effort.
(Calf muscle contracts farther than the distance that the heel comes off the floor)
(effort closer to pivot)
|Range of MotionThe load moves farther than the effort.
(Head moves farther up/down than neck muscles contract)
|Effort RequiredRequires larger effort to hold smaller load.|
(load closer to pivot)
|Effort RequiredSmaller effort will move larger load.||Range of MotionThe load moves shorter distance than the effort.|
If you used a wheelbarrow to move 200 lbs of dirt by lifting with 50 lbs of effort, what is the ?
If the handles of the wheelbarrow are 2.0 m from the wheel axle () then how far from the fulcrum is the center of gravity of the the dirt?
To lift the dirt load 3 in, what distance do you have to lift the handles?
- "Lever of a Human Body" by Alexandra, The Physics Corner ↵
- "Kinetic Anatomy With Web Resource-3rd Edition " by Robert Behnke , Human Kinetics ↵
- OpenStax University Physics, University Physics Volume 1. OpenStax CNX. Jul 11, 2018 http://email@example.com. ↵
- "Lever" by Pearson Scott Foresman , Wikimedia Commons is in the Public Domain ↵
- OpenStax, Anatomy & Physiology. OpenStax CNX. Jun 25, 2018 http://firstname.lastname@example.org. ↵
a rigid structure rotating on a pivot and acting on a load, used multiply the effect of an applied effort (force) or enhance the range of motion
There are three types or classes of levers, according to where the load and effort are located with respect to the fulcrum
a lever with the effort between the load and the fulcrum.
the force that is provided by an object in response to being pulled tight by forces acting from opposite ends, typically in reference to a rope, cable or wire
referring to a lever system, the force applied in order to hold or lift the load
the point on which a lever rests or is supported and on which it pivots
the force of gravity on on object, typically in reference to the force of gravity caused by Earth or another celestial body
the force working against the rotation of a lever that would be caused by the effort
a weight or other force being moved or held by a structure such as a lever
levers with the fulcrum placed between the effort and load
levers with the resistance (load) in-between the effort and the fulcrum
any interaction that causes objects with mass to change speed and/or direction of motion, except when balanced by other forces. We experience forces as pushes and pulls.
the central point, pin, or shaft on which a mechanism turns or oscillates
in a lever, the distance from the line of action of the effort to the fulcrum or pivot
shortest distance from the line of action of the resistance to the fulcrum
ratio of the output and input forces of a machine
each of the digits of a number that are used to express it to the required degree of accuracy, starting from the first nonzero digit
a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
refers to the closeness of two or more measurements to each other
distance or angle traversed by a body part