Graphing the work done by a force along paths

AI Thread Summary
The discussion focuses on evaluating the work done by a force along different paths from the origin to the point P(1,1) using the formula W = op∫ F•dr. The user has completed the calculations for the first three paths but is unsure how to graph them, particularly using Excel. Suggestions for graphing include using Excel or considering more advanced software like GNU Octave, Matlab, or Mathematica for better functionality. The conversation emphasizes the importance of not submitting hand-drawn graphs as per the professor's instructions. Overall, the user seeks guidance on effectively creating the required graph digitally.
Trade
Messages
6
Reaction score
0

Homework Statement



Evaluate the work done
W = op∫ F\bulletdr

By the two dimensional force F = (x2, 2xy) along the following paths from the
origin to the point P(1,1):
1) This path goes along the x-axis to the point Q(1,0) and then directly up to
the point P(1,1).
2) Along the path y = x2.
3) Along the path given by the parametric equation x = t3 and y = t2.
4) Plot each of these paths on the same graph.


I'm actually done parts 1 through 3. I'm just kind of lost as to how to graph something like this. The only software I really have at my disposal is excel. Any ideas?

I know this is a little vague, but my knowledge with graphing software is pretty terrible.
 
Physics news on Phys.org
You should be able to graph it by hand.
 
Simon Bridge said:
You should be able to graph it by hand.

I would, but my prof has specifically stated that it can't be a hand drawn graph.
 
Oh right - you can do it in a spreadsheet, but if you are going to have to do this sort of thing a lot you should consider a math script package.

GNU Octave is free-gratis and free-libre and does lots of what you want.
Matlab and Mathematica are popular, and iirc there is a version of mathematica as cloudware.

What si it you are having trouble with?
Do you just not know how to make a graph in Excel?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'A bead-mass oscillatory system problem'
I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
Back
Top