I Time derivative using the quotient rule

AI Thread Summary
The discussion focuses on verifying the application of the quotient rule for taking the time derivative of a function involving time-dependent variables "r" and "theta." The original poster is seeking confirmation on their mathematical approach while working on a numerical mechanics problem. Responses indicate that the use of the quotient rule appears to be correct. The poster is encouraged to double-check their calculations to resolve discrepancies in their results. Overall, the thread emphasizes the importance of careful mathematical verification in problem-solving.
Mishal0488
Messages
20
Reaction score
1
Hi Guys

Sorry for the rudimentary post. I am busy with a numerical solution to a mechanics problem, and the results are just not as expected. I am re-checking the mathematics to ensure that all is in order in doing so I am second guessing a few things

Referring to the attached scan, is the quotient rule used correctly when taking the time derivative of the function? Note that both "r" and "theta" are time dependent.

Thanks in advance
 

Attachments

  • Capture.JPG
    Capture.JPG
    10.4 KB · Views: 131
Physics news on Phys.org
Looks right.
 

Thread 'Average velocity as a weighted mean'

Hello everyone, Consider the problem in which a car is told to travel at 30 km/h for L kilometers and then at 60 km/h for another L kilometers. Next, you are asked to determine the average speed. My question is: although we know that the average speed in this case is the harmonic mean of the two speeds, is it also possible to state that the average speed over this 2L-kilometer stretch can be obtained as a weighted average of the two speeds? Best regards, DaTario
View full post »

Thread 'Inclined treadmills and Galilean Invariance'

This has been discussed many times on PF, and will likely come up again, so the video might come handy. Previous threads: https://www.physicsforums.com/threads/is-a-treadmill-incline-just-a-marketing-gimmick.937725/ https://www.physicsforums.com/threads/work-done-running-on-an-inclined-treadmill.927825/ https://www.physicsforums.com/threads/how-do-we-calculate-the-energy-we-used-to-do-something.1052162/
View full post »

Similar threads

I Time Derivatives: Hi Guys, Am I on the Right Track?
Replies
3
Views
808
I Question about the quotient rule of derivatives
Replies
12
Views
5K
I Why is the derivative defined as the limit of the quotient?
Replies
13
Views
2K
I Meaning of "passage to the quotient"?
Replies
3
Views
485
I Treating the Derivative like a Quotient
Replies
15
Views
2K
I Adding total time derivative to Lagrangian/Canonical Transformations
Replies
2
Views
239
I Using reference frames for derivation of Lagrangian
Replies
25
Views
2K
Limit question to be done without using derivatives
Replies
25
Views
1K
What is the (higher order) time derivative of centripetal acceleration?
Replies
2
Views
1K
Is there place for higher order derivatives in mechanics?
Replies
5
Views
1K

Hot Threads

Recent Insights

Back
Top