I have a mass sliding down an inclined plane. I am changing the angle of inclination at intervals of 10 degrees starting from 10 till 80 degrees. Will the kinetic friction be the same for all angles or will it reduce as the angle gets closer yo 90 degrees?
The coefficient of kinetic friction can be calculated using $\mu_k = F_k/F_n$. A change in angle does not affect the normal force, but doesn't a change in angle affect the friction? As in if the angle is steeper, wouldn't the object have a greater propensity to move down the slope, thus there will be less friction?
Does Windows still rely on MS-DOS? I am just about to start an OS course and as an Apple user I am not very familiar with the underlying details of Windows OS. I was wondering, is MS DOS still used with Windows running on top or is ONLY Windows used now as the OS? I was a little confused because I read somewhere that MS-DOS is used for booting but Windows has all other OS capabilities built into it and thus is used for all other OS operations... How To Get Command Blocks Talking in Chat Fundamental Theorem of Calculus. Fundamental Theorem of Calculus says  Let $f$ be an integrable function on $[a,b].$ For $x$ in $[a,b],$  let $F(x)=\int_{a}^{x}f(t)dt.$ Then $F$ is continuous on $[a,b].$ If $f$ is continuous at $x_{0}$ in $(a,b),$ then $F$ is differentiable at $x_{0}$ and $F^{'}(x_{0})=f(x_{0}).$  Now my question is why we are saying that this is "Fundamental Theorem of whole Calculus".  It is clear that it connects intergal and differential calculus. But i am not getting the exact concept, why this is so important as its name is fundamental theorem of calculus. Why we says that it is fundamental theorem of calculus?  Please suggest me. Thanks in advance. Number of pairs of strings satisfying the given condition We are provided with a string A (may contain repeated characters as well ). One needs to make all possible permutations of A , and find out how many pairs of strings chosen from these permutations are not similar.  Two strings are similar if we can make both of them exactly same by carrying out at most 1 swap in each of them .  Example :- if we are provided with string abcd  , then for permutation abcd , the permutations which are not similar to it are bcda , bdac , cadb , cdba , dabc , dcab . Similar is the case for other permuations as well. So overall number of desired pairs are 24*6=144 .  I tried solving it for each possible pair by approach mentioned here     But as the permutations can be large enough , I need a better approach of solving this. Bring back review numbers to the top bar Though I never quite understood what those numbers were and they were quite ugly, they were the only reason I ever visited the reviews page.   Can we have similar functionality back on the top bar please? What is recursion and when should I use it? One of the topics that seems to come up regularly on mailing lists and online discussions is the merits (or lack thereof) of doing a Computer Science Degree. An argument that seems to come up time and again for the negative party is that they have been coding for some number of years and they have never used recursion.  So the question is:   What is recursion? When would I use recursion? Why don't people use recursion? PXE Boot Server Installation Steps in Ubuntu Server VM What does "can only heal so much" mean in this sentence? I found the following sentence in an American novel (this one:  you can read the whole paragraph). A woman broke her wrist and just had her cast removed. She thinks she can start playing piano again, but her wrist still hurts too much. I'm not sure I understand the meaning of the final sentence:  But a body can only heal so much, so fast.  Can someone help me, please? I have a card that is 50% used with 7% interest. The max credit limit on the card is $10,000, and I used $5000. I have another card that is $14,000 and I have $2900 used, but the interest is 14.9%. I want to move the $2900 card to the other card that has a lower interest rate (7%). This will bring the balance close to the max, but the idea is to focus on this one card and bring the balance down as quickly as possible. is this a wise choice? I am looking to purchase a house in 6 months so I thought that this might be enough time to pay it off and keep my score up. My scores are currently in the low 700s. How to find out how many games I have won with a specific race on ladder 1v1?  The profile screen just gives me the total wins and losses but I play with all three races and I would like to know my stats per race.  Thanks.  PS: I have been playing Starcraft from the release date but I don't have the old replays as I format my computer often. So I'm pretty sure there's at least 2, one for both X &amp; Y.   Much like other iterations of the other Pokemon games, are there other Legendaries? How many legendaries, and what are their names? An example:    O  O?   There is a triple letter tile to the right of the bottom O, indicated with a ?.  If I place an X on it, making the words OX (vertical) and OX (horizontal), do I score 50 points (scoring the tile twice) or 34 (scoring it once)? Ubuntu desktop 18.04 LTS freezes with USB WiFi dongle OS: Ubuntu desktop 18.04 LTS Linux version 4.15.0-24-generic  USB WiFi: odroid WiFi Module 3 with Realtek RTL8188CUS-GR  syslog has only ^@  Jul  4 12:31:50 udbv-HP-ProBook sudo: pam_ecryptfs: pam_sm_authenticate: /home/udbv is already mounted ^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^@^$ Jul  4 12:33:30 udbv-HP-ProBook systemd-modules-load[396]: Inserted module 'ppdev' Jul  4 12:33:30 udbv-HP-ProBook systemd-modules-load[396]: Inserted module 'parport_pc' Jul  4 12:33:30 udbv-HP-ProBook systemd-cryptsetup[424]: crypt_init() failed: Block device required Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Starting Flush Journal to Persistent Storage... Jul  4 12:33:30 udbv-HP-ProBook swapon[415]: swapon: /swapfile: read swap header failed Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Started Create Static Device Nodes in /dev. Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Starting udev Kernel Device Manager... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Started Set the console keyboard layout. Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Reached target Local File Systems (Pre). Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for vlc... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for gnome-3-26-1604... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for gnome-calculator... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for pycharm-community... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for gnome-3-26-1604... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for skype, revision 41... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for gnome-calculator... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for gnome-calculator... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for skype, revision 38... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for pycharm-community... Jul  4 12:33:30 udbv-HP-ProBook systemd[1]: Mounting Mount unit for vlc... Jul  4 12:33:30 udbv-HP-ProBook kernel: [    0.000000] microcode: microcode updated early to revision 0x84, date = 2018-01-21   I tried following  but it didn't help.  Any ideas? I'd never heard of anycast until a few seconds ago when I read "".  The wikipedia "" article on it is quite formal and doesn't really evoke a mental picture of how it would be used.  Can someone explain in a few informal sentences what "anycast" is, how you configure it (just in a general sense), and what its benefits are (what does it make easier)? First time player in a group figuring out things as we all go.  I just hit level four as a Ranger, and I get to improve one ability score of my choice by 2, or I can increase two ability scores of my choice by 1.  My first thought was Strength, as I've been rocking a score of 11 with a mod of +0 so far. But I read that Rangers use (wisdom mod + 10) for their spell casting modifier. Currently my wisdom is 13, with a mod of +1. If I increase either STR or WIS, will the modifier increase as well? How and why?  A Monk in our party went from 9 CON to 11 during their ability score improvement, and by doing so their modifier went from −1 to 0.  We're all pretty new, so between eight people we're currently sharing one book, and all trying to locate our own copies for later campaigns. That's making it… inefficient for us to learn these things quickly. What's the difference between anonymous methods (C# 2.0) and lambda expressions (C# 3.0)? I use a Windows 10 machine remotely at work. Both the local and remote machine are in the same ISP network (not same local network, but same ISP). I've been using it like that for almost a year now and I had never experienced absolutely any issues.  Until recently. I don't know if anything specific triggered this behavior, but I feel that it started happening after I upgraded the remote to W10 1903. I later upgraded the local one as well and I feel that it only made the problem worse (but I don't really have any data).  From time to time, the session will freeze - the image stops updating. However, what I type and mouse clicks are still being sent. No error message is shown whatsoever, the image simply freezes. To make it work again, I have to close and re-open the session. Everything that I had typed and/or clicked while it was frozen is there.  Is there any way I can debug this? Help with this query I have a person table. I also have a car table and books table.  The car and book tables both have a foreign key back to person.  I am trying to count the number of books and cars each person has. I tried:  SELECT      Person.Name,      COUNT(BooK.bookid) books,      COUNT(Car.CarId) cars  FROM Person, Book, Car  WHERE Person.ID = Book.PersonID = Car.PersonID    but I get:  Incorrect syntax near '=' Automatic left and right commands Is it possible to automatically "add" \left and \right commands in front of all brackets? The source code should be left intact, but LaTeX should interpret every pair of brackets as if they were preceded by such commands. This is because adding \left and \right commands is time consuming and makes source code longer and less readable. I considered defining new commands such as \lb and \rb for \left( and \right), but it doesn't seem very elegant to me: what if I also want to add square brackets for example?  Any ideas? Thanks. I have searched, but not found anything on this. I am looking for a functionality in bash, using a terminal.  Way back when, I had a user on a debian system, and a friend set me up with a convenient history search feature (I believe I used tcsh then), where I would type the beginning of a previous command, hit up-arrow, and it would do a search, based on the partial string.  E.g. if my history is:  ./script.pl ./script.pl arg1 cat output cat output | grep yada   And I type ., and press up-arrow, it would show me: ./script.pl arg1. Press it again and it would show ./script.pl, etc.  Very much like it would perform a grep on .bash_history. Is there a way to get this functionality?