I did check some answers on similiar questions here, but I wasn't satisfied with the answer. When we are sitting (or if there is any body) on merry - go - round there should be some net force which acts radially in to keep us rotating relatively to ground. In this case it is said that static friction is this force since we are not moving with respect to merry - go - around. We are looking at things from inertial reference frame (no inertial forces). As far as I know static friction opposes motion when some outer force tries to move it from relatively to some other surface (to move us relatively to merry - go - round). So, there should be some force acting radially out to cause static friction acting radially in, but even in that case sum of forces acting in radial direction is zero since static friction balances outer force trying to move us. If so, there is no net force acting radially in to allow rotation. Where have I gone wrong?
What makes frictional force the centripetal force of a car turning along a curve? As friction is the opposing force and acts anti-parallel so there is no component of frictional force towards the center,right? Then how can frictional force be centripetal force?
Making pen and ink corrections on a UK visa form? Keep items in inventory on death in Minecraft I once played a vanilla Minecraft adventure map (called "Herobrine's Mansion") that prevented the player from losing their items on death. Which commands can be used to prevent the player from losing their items on death (in vanilla Minecraft)? I know of 2 basic kinds of default web icons for websites:   : place an .ico formatted file at the root of your site named favicon.ico and most desktop browsers will find it and display it in various contexts (bookmarks, tabs). Can also be added in code, which allows you to specify other names and other graphics types to the file, though there are :  &lt;link rel="shortcut icon" href="/favicon.ico" /&gt; &lt;link rel="icon" href="/favicon.ico" /&gt;  : place a png formatted file called either apple-touch-icon.png or apple-touch-icon-precomposed.png at the root of your site and iPhone OS/iOS versions of Safari will pick those up and store them when the site is added to the Home Screen. Can also be added with code like:  &lt;link rel="apple-touch-icon" href="/custom_icon.png" /&gt;    Are there any other default icon graphics for a website a webmaster can include? replacing the default console emulator under Windows XP How can I replace the default program providing console windows under Windows XP?  I know of , and I have a shortcut to start cmd.exe in . But now I want console applications to start in Console2 rather than the default console program, even when I have no control over the program that starts the console application. (I.e. a non-console program starts consoleapp.exe, and I can't change it to start Console2 instead, but I still want the application to be started inside a new instance of Console2.)  (Note that I want to replace the console itself, that is, the window in which console (i.e. text mode) applications run. And I must be able to run arbitrary, unmodified console applications: a substitute for a specific console program such as Cmd won't do me any good.)  EDIT: So what I'm after is a , which           OT: I want to know when Microsoft is going to make a decent CSRSS replacement. Not being able to adjust the width of a "terminal" by resizing the window is a complete joke.         Go download the ISE already. (It's included in Win7/2008R2.)   But as far as I understand this ISE is an , not a general console emulator. "Was" or "were" in subjunctive clauses I'm not a native english speaker, so even though I'm decently proficient at it, I don't really "know the rules" sometimes, and this is one that's been confusing me for a long time.  Which one is correct in each sentence?     If the movement [was/were] to continue uncorrected, the tower would   one day topple.      If I [was/were] rich, I would buy a yacht.   NOTE: I care not only about the case of "I", but also "she", "them", "it", etc, as in the example of the tower. Would it be any different if instead of the tower, it'd be me who'd topple if uncorrected?  I'm pretty sure it's "were" in both cases. That's what they taught me, I think. I started to doubt when I saw a lot of "was", but it sounded like the typical intentional mistake used "stylistically". ("If I was a rich girl...")  Then I saw it some more and thought it came down to an American/British English difference (I was taught British, in theory, and most of what I read is American).    But that tower sentence came straight from "The Guardian"...  When do you use was and when do you use were? Where can I find Dogmeat after dismissing him to Sanctuary Hills? I recently dismissed Dogmeat in favor of Codsworth, and I'm fairly sure I sent him to Sanctuary Hills. However, I've had a fairly detailed look around the place and I haven't found him yet. Does anyone know where he is? I know this proof is somewhat similar, or related to the Baire's Category Theorem but I can't seem to figure out how to do it.  The Baire Category theorem asserts that if X is a complete metric space or a locally compact Hausdorff space (my case), then the complement of a countable union of nowhere dense sets is always nonempty.  How can I use this on the proof? How do you handle multiple instances of setTimeout()? What is the most recommended/best way to stop multiple instances of a setTimeout function from being created (in javascript)?  An example (psuedo code):  function mouseClick() {    moveDiv("div_0001", mouseX, mouseY); }  function moveDiv(objID, destX, destY) {    //some code that moves the div closer to destination    ...    ...    ...     setTimeout("moveDiv(objID, destX, destY)", 1000);    ...    ...    ... }   My issue is that if the user clicks the mouse multiple times, I have multiple instances of moveDiv() getting called.  The option I have seen is to create a flag, that only allows the timeout to be called if no other instance is available...is that the best way to go?  I hope that makes it clear.... Let $A$ be a $n \times n$  invertible  matrix.Define a function $F:\mathbb{R}^{n} \times \mathbb{R}^{n} \rightarrow \mathbb{R}$ by $F(x,y)=\langle Ax,y\rangle$. Let $DF(x,y)$ denotes the derivative of $F$ at $(x,y)$ which is a linear transformation from $\mathbb{R}^{n} \times \mathbb{R}^{n} \rightarrow \mathbb{R} $. Then      1) if $x\neq 0$,then  $DF(x,0)\neq 0$      2) if $y\neq 0$,then  $DF(0,y)\neq 0$      3)  if $(x,y)\neq (0,0)$,then $DF(x,y)\neq 0$      4) if $x=0 \; or \;y=0$,then $DF(x,y)= 0$   I don't even know how to start the solution and also how to take derivative in higher dimensions.  Please help!  Thank you. Is there a way to get reverse numbering on the enumerate environment? To build a list of publications, I wish to show the most recent on top of the list, while keeping the numbering similar. This can be achieved manually by doing something like:  \begin{enumerate} \item[42] pub num 42 \item[41] pub num 41 \item[...] \item[1] pub num 1 \end{enumerate}   but is there a more principled approach? Hyphenation of words containing slash How can I tell LaTeX to automatically split up the german word  Kontrast/Rausch-Verhältnis    into   Kontrast/Rausch-|Ver|hält|nis   LaTeX complains that "/" is not a letter. When asking a new question and typing in the title we get a list of similar questions named     Questions that may already have your answer     That suggestions contains posts across all tags. Like the example in the screenshot it returns similar questions for Python, jQuery, SQL, C#, Java, C++, ...  This makes the list less useless unlikely people find a question that already answers theirs. If people actually find a similar question in that list many duplicates could be avoided.  So can tags I entered below the question be considered to update the list? And can the tag textbox maybe put above the question title? When you are performing time consuming operations in bash like installing new software, is it possible to write text that will appear at the prompt when the operation has finished.  E.g   Imagine running:  apt-get install eclipse-platform   Then it will use quite a while to finish while you see the installation log, meanwhile I want to create new folders (workspaces) which Eclipse later will use.  Is this possible without opening a new terminal (or tab)? I want to power my DIY stuff with a MacBook Pro USB C charger. The label on a charger says that it can provide three different power profiles:    20.2V - 4.3A 9V - 3A 5.2V - 2.4A   There is a ton of information about what USB-C power distribution is capable of, but I can't find any examples of how exactly to do it.   Is there an easy way or workaround to request one of those power profiles without using a microcontroller?  For example, I got apple MacBook Pro charger, apple USB-C cable, and a breakout board like this one: My iPhone 5 won't boot anymore and when I plug it in my MacBook, it goes to recovery mode (cable logo => iTunes logo).  So I tried to restore it using iTunes but I keep getting this error    Any idea how to fix it?  While it was plugged in I tried holding power + home, it reboots the device and goes back to recovery mode and then any restore attempt results in a 2001 error as well. When it's not plugged in nothing will make it boot. Is there anyway I can connect resistors to allow them to take more power such as using 4 1/4 watt resistors to get a 1 watt resistors. Or do i just have to use 1 1 Watt resistor. Can I charge my laptop with a charger that has different specifications? How to change the starting reference number in Natbib in a given bibunit? I'm using bibunit and Natbib packages with a numerical numbering.   \begin{bibunit}[plainnat]     \nocite{ref1,ref2}     \putbib[mybiblio] \end{bibunit}  \begin{bibunit}[plainnat]     \nocite{ref3,ref4}     \putbib[mybiblio]  \end{bibunit}   How can I set the starting number for ref3 and ref4 to be different from 1 (say 15), without affecting the starting number for ref1 and ref 2? The desired result is the following:   [1] ref 1 [2] ref 2 [15] ref3 [16] ref4 "To your left" versus "on your left" I'm trying to figure out the best way to model the sphere-spiral here:    Is it possible to make this shape directly? Or do you have to make it as a cylinder and wrap it to a sphere?