Changing Angles



Consider the setup depicted.
The hemisphere, of radius R, moves to the right with a speed of v2, and the lower end of a rod, long enough such that it leans on the hemisphere, moves to the left with a speed of v1.

Find the rate at which angle θ changes.
Courtesy: http://dhwanit-itstrue.blogspot.com/2011/12/problemhemisphere-and-rod.html

8 comments:

  1. UnknownDecember 28, 2011 at 6:28 PM

    Please confirm if answer is:-
    (v1+v2){sin(theta)}{tan(theta)}/R

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  2. ShivankerDecember 28, 2011 at 8:10 PM

    ok correct till u mean the negative of what is being displayed in the second line of ur comment..

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  3. ShivankerDecember 28, 2011 at 8:16 PM

    those who tried this question, how do u rate this problem on a difficulty scale of 10?

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  4. SumantraDecember 28, 2011 at 10:11 PM

    Yes,same as Rajat.I guess something b/w 5 or 6(considering we have something similar in the module)

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  5. Pulkit MendirattaDecember 29, 2011 at 1:50 AM

    Yup.Same answer. Probably 5-6 would be apt.

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  6. UnknownDecember 29, 2011 at 8:53 PM

    This comment has been removed by the author.

    ReplyDelete
  7. UnknownDecember 29, 2011 at 8:54 PM

    Guys..try this also
    http://dhwanit-itstrue.blogspot.com/2011/12/hanging-rope.html
    Please post ur attempts!!

    ReplyDelete
  8. shivam gargshyaDecember 30, 2011 at 7:45 AM

    same as rajat with -ve sign i took the centre of hemisphere as origin and then followed the procedure as in module.

    ReplyDelete

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