Spring force, Mathematics

Assignment Help:

Spring, Fs

We are going to suppose that Hooke's Law will govern the force as the spring exerts on the object. This force will all the time be present suitably and is

Fs  = -k ( L + u )

The Law of Hooke tells us that the force exerted through a spring will be the spring constant, k > 0, times the displacement of the spring by its natural length. For our set up the displacement from the spring's natural length is as L + u and the minus sign is in there to ensure that the force all the time has the accurate direction.

Let's ensure that this force does what we expect this to. If the object is at rest into its equilibrium position the displacement is L and the force is simply Fs = -kL that will act in the upward position since it must since the spring has been stretched from its natural length.

If the spring has been stretched additionally down from the equilibrium position so L + u will be positive and Fs will be negative acting to pull the item or object back up as it must be.

Subsequently, if the object has been moved up past its equilibrium point, although not yet to its natural length so u will be negative, but even less than L and thus L + u will be positive and once again Fs will be negative acting to pull the object up.

At last, if the object has been moved upwards hence the spring is now compressed, so then u will be negative and greater than L. Hence, L + u will be negative and here Fs will be positive acting to push the object down.

Therefore, it looks like this force will act as we expect that it must.


Related Discussions:- Spring force

Conscious consumer, a group of 3o students is planning a thanksgiving party...

a group of 3o students is planning a thanksgiving party items needed hats @ $2.50 each.noise makers@$4.00 per pack of 5.Ballons @$5.00 per pack of 10.how many packs of noisemakers

Arden''s Theorem, Find the Regular Grammar for the following Regular Expres...

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

Graphing formulas, how do you graph y+3=-x+3x on a TI-83 graphing calculato...

how do you graph y+3=-x+3x on a TI-83 graphing calculator?

Discontinuous integrand- integration techniques, Discontinuous Integrand- I...

Discontinuous Integrand- Integration Techniques Here now we need to look at the second type of improper integrals that we will be looking at in this section.  These are integr

Wholenumberriddles, I am less than 100 the sum of my digits is 4 half of me...

I am less than 100 the sum of my digits is 4 half of me is an odd number

Multiplication example, Example  Multiply 3x 5 + 4x 3 + 2x - 1 ...

Example  Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .

Differences of squares and other even powers, Differences of Squares (and o...

Differences of Squares (and other even powers) ? A square monomial is a monomial which is the square of another monomial. Here are some examples: 25 is the square of 5 x 2 i

How many miles will he jog in 30 minutes, Mike can jog 6.5 miles per hour. ...

Mike can jog 6.5 miles per hour. At this rate, how many miles will he jog in 30 minutes? Thirty minutes is half an hour. Thus, divide the number of miles Mike can jog in one ho

Introduction to ones tens and more, INTRODUCTION :  We are often confronte...

INTRODUCTION :  We are often confronted with children not being able to deal with H T 0, i.e. 'hundreds', 'tens' and 'ones' (or 'units'), with comfort, though they are supposed to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd