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Math Help - Non-Uniform Motion in a circle

  1. #1
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    Non uniform motion in a circle

    Another question i cant get my head around (this ones a bit long):

    1) express each force in vector form

    2)Derive equation of motion for particle p1 and p2

    3)write down distance p2 has fallen after time t and deduce magnitude of acceleration of p2 as r*theta where theta is magnitude of angular acceleration

    4) show that

    Magnitude of angular acceleration = g(2-cos(theta))/3R

    5) Show that magnitude of normal reaction of the cyclinder on P1 is

    mg(5sin(theta)-4*(theta))
    Attached Thumbnails Attached Thumbnails Non-Uniform Motion in a circle-non-uniform-motion-circle.jpg  
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  2. #2
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    use polar co-ordinates for P1 and Cartesian Co-ordinates for P2
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  3. #3
    Junior Member
    Joined
    Apr 2008
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    Non-Uniform Motion in a circle

    I am a bit confused by this question(see attached image). This has been posted before but im not any further forward. My problems are:


    P1 - has this got the following forces acting on it: Weight, Tension, and Natural reaction force?

    and thus does the equation of motion end up as:

    mr''= -|T|er - (mgcos a)er - (mgsin a)eo + |N|er

    where er and eo are the radial and tangential components respectively

    Then is it a case of gathering the similar terms and resolving in the er direction to get:

    ml0'^2 = mg cos a - |T|


    P2 - is this just experiencing the tension of the string and its own weight?

    Thanks in advance[IMG]file:///C:/DOCUME%7E1/Paul/LOCALS%7E1/Temp/moz-screenshot-5.jpg[/IMG]

    Sorry for double post - dont know what happened there!!!
    Attached Thumbnails Attached Thumbnails Non-Uniform Motion in a circle-non-uniform-motion-circle.jpg  
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