Something conceptual:

A thin ring of radius 2m is spun with an angular velocity of 10rad/sec and kept to roll (like a tyre) on a rough floor with coeff. of friction .5;

Its subsequent motion is analysed for the next 1 minute;

Find the time duration for which:
1) the friction acting is kinetic in nature;
2) the friction acting is static in nature;

12 comments:

  1. why wud static friction act when the ring stops????
    it wud be in equilibrium,there is no force which friction shud oppose

    anyways...here's my an

    kinetic - 4sec
    static - 0sec??

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  2. i am with john there would be no slipping tendency after coming to rest after 4s

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  3. i should hav been more clear:
    the ring is kept such that it rolls;
    it is not kept face down on the ground..as i guess you have assumed...

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  4. silly mistake that one

    3s kinetic friction and static does not come in this q

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  5. i think i am making some mistake
    i got 2s kinetic friction, and then static friction (i.e R.W.S.)

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  6. i m also getting 2s kinetic and for d rest of tym, no friction at all

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  7. yeah 2sec kinetic then Vcm becomes wR so no friction

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  8. yes 2s silly mistake really very silly

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  9. ya..2s kinetic and then no friction...

    imp. fact: static friction never acts!

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  10. 2 sec for kinetic and 0 for static

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  11. plz. note:
    the time after which slipping stops:
    rw/(1+k^2/R^2)

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