why the longer the distance a force is applied from the fulcrum the greater the output...

why the longer the distance a force is applied from the fulcrum the greater the output force. I want to know how this works exactly and how does a larger distance affects the amount if work done by the force. does it has to do with the input force traveling longer vertically some how creating a greater output? So far I've just gotten very general information I hope you can help me to understand this more deeply thank you.

Expert Solution

Let us consider a lever where the there is a load force at point A, the fulcrum is at point B and the force is applied at point C.

Fl is the load force which is the force output, Fi is the input force. Let us say that the Fl is at a distance xl from point B and Fi is at a distance xi from point B. In the case when the load force is equal to the input force, the system will be in static equilibrium, therefore we can say that the total moment of the system will be zero, ie. the moment produced due to load force and the input force will be equal hence we can write,

We can calculate the load from this equation as,

Here we can say that the the load force will increase as the distance xi will increase, ie. the maximum load which a particular input force can take will increase as the distance increases. This is due to the fact that as the distance increases the moment produced by the force increases, and hence we can use small forces at big distances to move objects with higher load at smaller distance from fulcrum.

genius_generous answered 2 years ago

The applied force is between the fulcrum and load in a ________ lever. A. first class...

The applied force is between the fulcrum and load in a ________ lever. A. first class B. second class C. third class D. fourth class

Torque can be calculated by multiplying the force (N) applied at 90° to the lever arm at a distance (m) from the pivot point (point of rotation)

Torque can be calculated by multiplying the force (N) applied at 90° to the lever arm at a distance (m) from the pivot point (point of rotation), the compound SI unit for the torque is N⋅m. If the force (at 90° to the lever arm) applied is 15 N and it is applied at 2.0 m from the pivot point (point of rotation), what is the torque on the lever?

In capillary action, why is the adhesive force of water to glass greater than the cohesive...

In capillary action, why is the adhesive force of water to glass greater than the cohesive force of water to itself? Doesn't water have for hydrogen bonding?

Find , the electromotive force (EMF) around a loop that is at distance from the axis,

a) Find \(\mathcal{E}(R, t)\), the electromotive force (EMF) around a loop that is at distance \(R\) from the \(z\) axis, where \(R\) is restricted to the region outside the iron rod as shown. Take the direction shown in the figure as positive. Express \(\mathcal{E}(R, t)\) in terms of \(A ,B_{0}, B_{1}, R,{\text {,and any needed constants such as }} \epsilon_{0}, \pi\), and \(\mu_{0}\) b) Due to the cylindrical symmetry of this problem, the induced electric field \(\vec{E}(R, t)\) can depend...

a)Find , the electromotive force (EMF) around a loop that is at distance R from...

a)Find ε(R,t), the electromotive force (EMF) around a loop that is at distance R from the z axis, where R is restricted to the region outside the iron rod as shown. Take the direction shown in the figure as positive.Express ε(R,t) in terms of A, B0, B1, R, and any needed constants such as ,π, and μ0b)Due to the cylindrical symmetry of this problem, the induced electric field can depend only on the distance R from thez axis, where R is restricted to...

Assume that investors seek a lower liquidity premium from longer investments how does this force affect...

Assume that investors seek a lower liquidity premium from longer investments how does this force affect the term structure of interest rates, holding other factors constant.

An upward applied force of 10 lbf is applied to a body that has been dropped....

An upward applied force of 10 lbf is applied to a body that has been dropped. Assume the usual value for acceleration due to gravity. If the object weighs 40 lbm, what is the vertical acceleration of the object in ft/s2 ? Draw a free body diagram and label your axes. ANSWER should be between ( 20-25 ft/s2)

Explain the friction applied force graph thoroughly.

1. The pressure exerted by a force on an area is greater when the area is:...

1. The pressure exerted by a force on an area is greater when the area is: reduced increased expanded None of the above 2. When a fluid is in equilibrium, the vector sum of the vector forces of the vertical forces on the fluid element must be: A scalar different from zero equal to zero None of the above 3. When a body is submerged in a fluid the sum of forces gives us the force as an equivalence: normal...

Do countries with greater central bank independence have higher unemployment or greater output fluctuations?

Question