Horizontal or vertical strips when solving c.o.m. of functions problems?

In summary, the conversation discusses the best way to determine whether to divide a 2D figure into horizontal or vertical strips when solving centre of mass problems. It is questioned if this decision relies on experience or math skills. The conversation also mentions a specific problem in a video and requests for a moderator to move the discussion back to the math section."
  • #1
Nikitin
735
27
Last edited:
Physics news on Phys.org
  • #2
Shouldn't this be in the math section? A moderator moved it from there and to here, but that was before I updated my OP with a youtube video explaining what I'm on about.

Can some moderator move it back, or at least answer me?
 

1. What is the difference between horizontal and vertical strips when solving center of mass (c.o.m.) of functions problems?

The main difference between horizontal and vertical strips is the direction in which they are oriented. Horizontal strips are parallel to the x-axis, while vertical strips are parallel to the y-axis. This difference affects the way we calculate the area and the distance from the axis of rotation when solving c.o.m. problems.

2. Why do we use horizontal strips in some c.o.m. problems and vertical strips in others?

The choice between using horizontal or vertical strips depends on the shape of the function and the axis of rotation. In some cases, one type of strip may make the calculations easier or more accurate than the other. Looking at the problem and considering which way will be more convenient is key to choosing the type of strip to use.

3. How do we determine the width of the strips when solving c.o.m. of functions problems?

The width of the strips is typically determined by the precision required in the calculations. Smaller strip widths will result in more accurate calculations, but will also require more strips and more complex calculations. In general, the width of the strips should be small enough to accurately represent the shape of the function, but large enough to make the calculations manageable.

4. Can we use a combination of horizontal and vertical strips in c.o.m. problems?

Yes, it is possible to use a combination of horizontal and vertical strips in c.o.m. problems. This is often done in more complex problems where one type of strip may not be sufficient to accurately represent the shape of the function. In these cases, a combination of strips may provide a more accurate representation of the area and distance from the axis of rotation.

5. Are there any limitations to using horizontal and vertical strips in c.o.m. problems?

One limitation of using horizontal and vertical strips is that they assume the function is continuous and smooth. In cases where the function has discontinuities or sharp corners, these methods may not accurately represent the shape of the function. In these cases, other methods such as integration may be necessary to accurately calculate the c.o.m.

Similar threads

I Solving Wheel Coming to a Stop: FBD, Friction & Hysteresis
    • Mechanics
Replies
22
Views
2K
Is Alan Turing given too much credit when it comes to computers?
    • Programming and Computer Science
Replies
29
Views
3K
Geometry of perspective: apparent projected distance
    • General Math
Replies
1
Views
2K
Solving inequalities algebraically, when root is 0
    • Precalculus Mathematics Homework Help
Replies
3
Views
2K
I Problems involving combinatorics of lattice with certain symmetries
    • General Math
Replies
2
Views
624
I Solving a Reverse Series Problem in College Calculus
    • Calculus
Replies
6
Views
1K
Free Fall problem with a reaction time strip
    • Introductory Physics Homework Help
Replies
2
Views
8K
Requesting suggestions for languages, libraries, and architectures for parallel (and sometimes non parallel) numerical and scientific computations
    • Programming and Computer Science
Replies
8
Views
2K
Automotive Understanding Tire Forces in Bicycle Simulation: Physics and Code Explained
    • Mechanical Engineering
Replies
2
Views
1K
Trampoline Problem: Find Minimum h Value for Sinusoidal Function
    • Other Physics Topics
Replies
2
Views
5K

Hot Threads

Recent Insights

Back
Top