Earth as a perfect sphere and an object trying to stand still

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
1
down vote

favorite
1












I have imagined the Earth as a perfect sphere with uniform mass density and I put an object somewhere between the equator and the north pole at rest with respect to earth. And also in my imaginery world, there is no air resistance.



When I draw the free body diagram of the object including the pseudo force, I cannot see how these three forces will cancel.



Would we need force of friction in order to be able to stand still in my imaginary world?



enter image description here






newtonian-mechanics newtonian-gravity free-body-diagram equilibrium centrifugal-force







share|cite|improve this question























  • Related: physics.stackexchange.com/q/8074/2451 , physics.stackexchange.com/q/69562/2451 , physics.stackexchange.com/q/9751/2451 and links therein.
    – Qmechanic♦
    2 hours ago















up vote
1
down vote

favorite
1












I have imagined the Earth as a perfect sphere with uniform mass density and I put an object somewhere between the equator and the north pole at rest with respect to earth. And also in my imaginery world, there is no air resistance.



When I draw the free body diagram of the object including the pseudo force, I cannot see how these three forces will cancel.



Would we need force of friction in order to be able to stand still in my imaginary world?



enter image description here






newtonian-mechanics newtonian-gravity free-body-diagram equilibrium centrifugal-force







share|cite|improve this question























  • Related: physics.stackexchange.com/q/8074/2451 , physics.stackexchange.com/q/69562/2451 , physics.stackexchange.com/q/9751/2451 and links therein.
    – Qmechanic♦
    2 hours ago













up vote
1
down vote

favorite
1









up vote
1
down vote

favorite
1






1





I have imagined the Earth as a perfect sphere with uniform mass density and I put an object somewhere between the equator and the north pole at rest with respect to earth. And also in my imaginery world, there is no air resistance.



When I draw the free body diagram of the object including the pseudo force, I cannot see how these three forces will cancel.



Would we need force of friction in order to be able to stand still in my imaginary world?



enter image description here






newtonian-mechanics newtonian-gravity free-body-diagram equilibrium centrifugal-force







share|cite|improve this question















I have imagined the Earth as a perfect sphere with uniform mass density and I put an object somewhere between the equator and the north pole at rest with respect to earth. And also in my imaginery world, there is no air resistance.



When I draw the free body diagram of the object including the pseudo force, I cannot see how these three forces will cancel.



Would we need force of friction in order to be able to stand still in my imaginary world?



enter image description here






newtonian-mechanics newtonian-gravity free-body-diagram equilibrium centrifugal-force




newtonian-mechanics newtonian-gravity free-body-diagram equilibrium centrifugal-force






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 2 hours ago









Qmechanic♦

97k121631031




97k121631031










asked 2 hours ago









physicsguy19

130110




130110











  • Related: physics.stackexchange.com/q/8074/2451 , physics.stackexchange.com/q/69562/2451 , physics.stackexchange.com/q/9751/2451 and links therein.
    – Qmechanic♦
    2 hours ago

















  • Related: physics.stackexchange.com/q/8074/2451 , physics.stackexchange.com/q/69562/2451 , physics.stackexchange.com/q/9751/2451 and links therein.
    – Qmechanic♦
    2 hours ago
















Related: physics.stackexchange.com/q/8074/2451 , physics.stackexchange.com/q/69562/2451 , physics.stackexchange.com/q/9751/2451 and links therein.
– Qmechanic♦
2 hours ago





Related: physics.stackexchange.com/q/8074/2451 , physics.stackexchange.com/q/69562/2451 , physics.stackexchange.com/q/9751/2451 and links therein.
– Qmechanic♦
2 hours ago











1 Answer
1






active

oldest

votes

















up vote
5
down vote













Indeed, you need friction. Otherwise this object will slide to equator just as you expect.



In fact, all the objects will slide there to form equatorial bulge and eventually the sphere will be turned into new shape with surface orthogonal to $vecg+omega^2 vecr$ at each point. That is exactly what happens to planets in reality while they are still liquid.






share|cite|improve this answer








New contributor




FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

















    Your Answer




    StackExchange.ifUsing("editor", function ()
    return StackExchange.using("mathjaxEditing", function ()
    StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
    StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
    );
    );
    , "mathjax-editing");

    StackExchange.ready(function()
    var channelOptions =
    tags: "".split(" "),
    id: "151"
    ;
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function()
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled)
    StackExchange.using("snippets", function()
    createEditor();
    );

    else
    createEditor();

    );

    function createEditor()
    StackExchange.prepareEditor(
    heartbeatType: 'answer',
    convertImagesToLinks: false,
    noModals: false,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: null,
    bindNavPrevention: true,
    postfix: "",
    noCode: true, onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    );



    );













     

    draft saved


    draft discarded


















    StackExchange.ready(
    function ()
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fphysics.stackexchange.com%2fquestions%2f429441%2fearth-as-a-perfect-sphere-and-an-object-trying-to-stand-still%23new-answer', 'question_page');

    );

    Post as a guest

















    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    5
    down vote













    Indeed, you need friction. Otherwise this object will slide to equator just as you expect.



    In fact, all the objects will slide there to form equatorial bulge and eventually the sphere will be turned into new shape with surface orthogonal to $vecg+omega^2 vecr$ at each point. That is exactly what happens to planets in reality while they are still liquid.






    share|cite|improve this answer








    New contributor




    FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.





















      up vote
      5
      down vote













      Indeed, you need friction. Otherwise this object will slide to equator just as you expect.



      In fact, all the objects will slide there to form equatorial bulge and eventually the sphere will be turned into new shape with surface orthogonal to $vecg+omega^2 vecr$ at each point. That is exactly what happens to planets in reality while they are still liquid.






      share|cite|improve this answer








      New contributor




      FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.



















        up vote
        5
        down vote










        up vote
        5
        down vote









        Indeed, you need friction. Otherwise this object will slide to equator just as you expect.



        In fact, all the objects will slide there to form equatorial bulge and eventually the sphere will be turned into new shape with surface orthogonal to $vecg+omega^2 vecr$ at each point. That is exactly what happens to planets in reality while they are still liquid.






        share|cite|improve this answer








        New contributor




        FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.









        Indeed, you need friction. Otherwise this object will slide to equator just as you expect.



        In fact, all the objects will slide there to form equatorial bulge and eventually the sphere will be turned into new shape with surface orthogonal to $vecg+omega^2 vecr$ at each point. That is exactly what happens to planets in reality while they are still liquid.







        share|cite|improve this answer








        New contributor




        FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.









        share|cite|improve this answer



        share|cite|improve this answer






        New contributor




        FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.









        answered 1 hour ago









        FiatLux

        1512




        1512




        New contributor




        FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.





        New contributor





        FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.






        FiatLux is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.



























             

            draft saved


            draft discarded















































             


            draft saved


            draft discarded














            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fphysics.stackexchange.com%2fquestions%2f429441%2fearth-as-a-perfect-sphere-and-an-object-trying-to-stand-still%23new-answer', 'question_page');

            );

            Post as a guest
































































            Comments

            Post a Comment

            Popular posts from this blog

            What does second last employer means? [closed]

            Image
            Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote -3 down vote favorite Say, for example I have worked in the following companies, Company A => 2010 - 2011 Company B => 2011 - 2012 Company C => 2012 - Till Date Company D => Have offer Now assume Company D is asking to submit documents from my second last employer. So from the list of companies given, which company would be qualified as second last employer? software-industry employer share | improve this question asked Aug 10 '14 at 5:16 Rajaprabhu Aravindasamy 559 1 6 13 closed as off-topic by Jim G., jmort253 ♦ Aug 11 '14 at 1:58 This question appears to be off-topic. The users who voted to close gave this specific reason: "Questions seeking advice on company-specific regulations, agreements, or policies should be directed to your manager or HR department. Questions that address only
            Read more

            Installing NextGIS Connect into QGIS 3?

            Image
            Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote 1 down vote favorite Just acquired free version of NEXTGIS and trying to install the plugin for QGIS. It tells me it was not designed for version 3 of QGIS. How do I set up the QGIS-NEXTGIS interface then? qgis qgis-plugins nextgis share | improve this question edited 3 hours ago PolyGeo ♦ 51.9k 17 77 233 asked 4 hours ago IanGS 16 4 New contributor IanGS is a new contributor to this site. Take care in asking for clarification, commenting, and answering. Check out our Code of Conduct. add a comment  |  up vote 1 down vote favorite Just acquired free version of NEXTGIS and trying to install the plugin for QGIS. It tells me it was not designed for version 3 of QGIS. How do I set up the QGIS-NEXTGIS interface then? qgis qgis-plugins nextgis share | improve thi
            Read more

            One-line joke

            A one-liner is a joke that is delivered in a single line. A good one-liner is said to be pithy - concise and meaningful. [1] Comedians and actors use this comedic method as part of their act, e.g. Jimmy Carr, Tommy Cooper, Rodney Dangerfield, Norm Macdonald, Ken Dodd, Stewart Francis, Zach Galifianakis, Mitch Hedberg, Anthony Jeselnik, Milton Jones, Shappi Khorsandi, Jay London, Mark Linn-Baker, Demetri Martin, Groucho Marx, Dan Mintz, Emo Philips, Tim Vine, Steven Wright and Henny Youngman and Arnold Schwarzenegger. [ citation needed ] Many fictional characters are also known to deliver one-liners, including James Bond, who usually includes pithy and laconic quips after disposing of a villain. [ citation needed ] Examples "A baby seal walks into a club." "A dyslexic man walks into a bra." (Anonymous) "There are three types of people, those who can count and those who can't." "Venison's dear, isn't it?" (Jimmy Carr) "An escala
            Read more