Work in volume problems, Mathematics

Assignment Help:

Work : It is the last application of integral which we'll be looking at under this course. In this section we'll be looking at the amount of work which is done through a force in moving an object.

Under a first course in Physics you classically look at the work as a constant force F, does while moving an object over a distance of d.  In such cases the work,

W = Fd

Though, most forces are not constant and will depend upon in which exactly the force is acting. Therefore, let's assume that the force at any x is specified by F(x). Afterward the work complete by the force in moving an object from x = a to x = b is specified by,

483_Work.png

Consider that if the force is constant we find the correct formula for a constant force.

2023_Work1.png

Here b-a is only the distance moved or d.

Therefore, let's take a look at a couple of illustration of non-constant forces.


Related Discussions:- Work in volume problems

Fenrir chain, Fenrir the wolf is bound by a magical chain. The chain is an ...

Fenrir the wolf is bound by a magical chain. The chain is an endless piece madr up of 30 links.Originally forged by 6 pieces , each made up of 5 links. It costs 2 silver coins to c

Triple integrals, Consider a circular disc of radius 1 and thickness 1 whic...

Consider a circular disc of radius 1 and thickness 1 which has a uniform density 10 ?(x, y, z) = 1. (a) Find the moment of inertia of this disc about its central axis (that is, the

Geometry help, A painter leans a 10-foot ladder against the house she is to...

A painter leans a 10-foot ladder against the house she is to paint. The foot of the ladder is 3 feet from the house. How far above the ground does the ladder touch the house? Appro

Find the distance of the journey, A train covered a certain distance at a u...

A train covered a certain distance at a uniform speed.  If the train would have been 6km/hr faster, it would have taken 4hours less than the scheduled time.   And if the train were

Parent, Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbl...

Sam has 18 marbles. Dean has 3 marbles. Dean has ---- as many marbles as Sam?

Mensuration, if area of a rectangle is 27 sqmtr and it perimeter is 24 m fi...

if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#

Algebra, Hi, I don''t know how to solve 2(5x+3)

Hi, I don''t know how to solve 2(5x+3)

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