MHB Problem-Solving Strategy for Dynamics Problems

AI Thread Summary
A tailored problem-solving strategy for dynamics problems can significantly reduce frustration and improve efficiency. It emphasizes the importance of clearly stating the problem, writing relevant equations, and identifying inputs and expected outputs to demonstrate understanding. This structured approach mirrors practices used in professional engineering and scientific calculations, where citing sources and documenting steps is crucial. The discussion highlights that while the strategy is beneficial, not every aspect will apply to all problems. Adopting these practices can enhance clarity and accuracy in problem-solving.
Ackbach
Gold Member
MHB
Messages
4,148
Reaction score
93
I would highly recommend this to your attention. It can save you hours of frustration in solving problems. Note, however, that not every part necessarily applies to every problem.

View attachment Problem Solving Strategy.pdf

As per the discussion below, it is incumbent upon me to cite sources. This pdf was one I created from a combination of sources. The sole written source was Young and Freedman's University Physics. Other sources are verbal, from teachers, and my own experience.

For dynamics problems in particular, here is a tailored Problem-Solving Strategy.

View attachment Mechanics Problem-Solving Strategy.pdf

Enjoy!
 
Last edited by a moderator:
  • Informative
  • Like
Likes Juanda and homeworkhelpls
Mathematics news on Phys.org
When my colleagues and I solved a homework problem, we were required to state the problem as a demonstration that we understood the problem. Then we'd write the relevant equations, and inputs, and expected output. Again, the objective is to demonstrate that one understands the problem and the related physics and mathematics.

Then we'd write the solution, which could be the equation or set of equations, i.e., showing the work, so that the grader (grad student or professor) could understand how the problem was solved, or if there is an error, the grader could indicate the mistake.

Such a process is used much the same way in performing design or analysis calculations at work. If one uses a commercial program, usually one lists inputs and expected outputs. The inputs are listed with their source. Unless equations are very obvious (basic math), references (e.g., journal articles, handbooks, a standard or code (e.g., ASME code)) are cited with each equation.

Good engineering/scientific practices apply.
 
  • Like
Likes galen_storm, chwala, Greg Bernhardt and 1 other person
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top