Question

Post

Answer 1

@sirm3d

Hi
Can you clarify on the work ..?

Answer 2

You say dW = F dx or dW = x dF

but in this problem W is to f(x)

Answer 3

the force function f(x) can be estimated from the given table.
but the problem says... use the midpoint rule.
what is the midpoint rule?

Answer 4

4---8---12---16---20

If the intervals is from 4 to 20

and is divided in 4 parts , delta x= 4

then the midpoint is the middle point of each sub part

ex. 6, 10,14

Answer 5

There is a left endpoint, right endpoint and also midpoint rule
Those are for Riemann sum I believe

Answer 6

riemann approximations

Answer 7

yea ya..

Answer 8

i believe the answer to the problem is the sum of the areas of the rectangles

Answer 9

yes it is, but isn't W corresponds to Force or weight?

Answer 10

W = Fd
W is work, F is force, d is distance.

Answer 11

for a given F, small distance dx corresponds to small work dW.

Answer 12

then in this it will be F dx ?
since force function is given?

Answer 13

in a similar approach, for a given distance x, a small force dF corresponds to small work dW.

Answer 14

yes, because dx was set as a constant value.

Answer 15

ohh oki get it! but so far I 've only see dW = F dx

Answer 16

seen*

Answer 17

yes, where F = 1/(x+1)^2

Answer 18

but the the rope hanging at the top of the building, the approach is different.

Answer 19

this is exactly the new ques i'm going ot ask :D i was planning to skip it before , but since u came back, might wanna give it a try :P

Answer 20

do you want to know how to setup the definite integral w/o writing the riemann sum?

Answer 21

yes sure

Answer 22

Riemann is kinda like the same as integral, just changing variables