I started snowboarding a year ago and while watching a Ryan Knapton tutorial video on how to carve (riding on the edge of a snowboard), I noticed he didn't tip over and fall onto the snow even when he leans over his board to a great degree. There are two types of turn maneuver one can do on a...
Reviewing your analysis on the supposition that the vertical board is 10" high, I'm a little confused.
If the vertical board is 10" high and 10" wide, and the force acts 5" from the wall (on the top board), how is it possible that "the pushing force is 10" apart from the screw pulling force"...
Thanks for your reply. I never thought about the counter-moment as acting at the base off the thickness of the shelf! Your analysis makes sense but I do have a follow up question about the screw load-capacity.
How do we apply moments to analyze the load-capacity of the screw itself? The 70...
I modified design 1 going off intuition: if a load were to be placed on the top shelf of design 2, the bottom shelf and the two standing boards would effectively act as corbel/gusset. If a load were to be placed on the bottom shelf of design 2, it would stress the design the same way as a load...
I'm trying to figure out a way to fasten a [book] shelf onto a wall without using corbels. I decided to use L-brackets for support but I positioned them horizontally instead of vertically.
In the attached image, there are two designs:
1. A single shelf fastened to drywall using two drywall...
I offered an interpretation of the definition of frequency. This is not an argument about definition. What do you mean by "well estabished quantities" -- do you mean the deliberate choice to use 2π? Why was 2π chosen? Why do you think frequency was given the definition 1/T? Why the choice of ONE...
I apologize in advance for digging up this post but I appreciate this question since most textbooks that I've encountered takes this angular-frequency and time relationship for granted (i.e., state it without much explanation). The following is how I make sense of angular frequency:Any cyclic...
mathematics (on the subjects of calculus, linear algebra, differential equation) as math majors? It seems like my electrical engineering curriculum doesn't give calculus proper treatment. It basically had me learn how to do computation but never led me on to study calculus rigorously (as one...
I've taken differential,integral,multivariate calculus, DEQs, Introductory Linear Algebra, and am currently taking complex analysis and vector calculus (an extension of vector calc from multivariate). As a math student, how do you decide what to study after that? Is it time to specialize?
I...
I'm in the process of settling on a major (either Comp. Sci. or EE) and here are some things I've considered:
A. Subject description & relevance on a personal level
I. Hobbies
B. Subject description & relevance as a career choice
I. Industries within the major
II...
It depends on the university culture, professor, and the course rigor. I've taken non-rigorous courses where exam questions are similar to HW questions and exam questions boil down to the application of concepts. To prepare for these exams, it's best to do more practice problems. The idea is...
If you aren't planning to do upper-level theoretical work in physics, then you have more options in terms of when to take either an algebra or calculus based intro-to-physics course.
I don't know the requirement for your curriculum but it would be unreasonable to take two lower-level physics...
rref stands for the Reduced Row Echelon Form operation on a calculator (which operates on a matrix to give the reduced row echelon form of some given matrix). rref(A) gives reduced row echelon form of A.
A pivot of a row refers to the leading 1 in the respective row of the rref of some MX...
Suppose we have an nxn matrix A with column vectors v1,...,vn. A is invertible. With rank(A)=n. How do I prove that v1,...,vn are linearly independent?
I think I can prove this by using the fact that rank(A)=n, which tells me that there is a pivot in each of the n columns of the rref(A)...