Heavy hub pendulum...

[iacob alex]

....can make a correspondence between an Atwood Machine with a massive pulley,and a pendular mass with a heavy hub.

   A small mass difference(Atwood machine with a massive pulley)  is engaged to coil,spiral,gather the gravity fall into a great rotational inertia,in a retarded motion.

   The heavy hub pendulum(or a long arm-short arm configuration with a massive hub...) is intended to operate alike.The hub works as a temporary energy storage.


   All the Bests!  /  Alex

[iacob alex]

 
....  can be a landmark,to understand the connection and energy transfer,between gravity and inertia

    In this simple design,picture we have a fulcrum,an arm and a mass operating in gravity(as a classic lever...),but...the other "arm" is  "void",only a massive hub,the central zone of the rotational motion.
 
    As a whole,the image is of a heavy hub pendular mass:it can transform a translational pull of gravity(arm and pendular mass),into a spinning  motion on the spot(fulcrum...),so into rotational inertia.

    It's  something apart...a lever in two "worlds":gravity and (rotational) inertia.

    The input is in gravity.

     Now,how about the output!?

               All the Bests2  /  Alex
           

[iacob alex]

   ....is imagined to store rotational inertia,due to a pendular fall in gravity.

       Look at :   www.msu.edu/user/brechtjo/physics/atwood/atwood.html   

       The simulation-test was made for a particular Atwood Machine: with a heavy pulley.

       If we use the heavy pulley (M3) as a heavy hub for a pendulum (arm+bob M1),we can roll up gravity fall (this time with a variable arm...).

       The interesting point is that,we can accelerate a heavy hub (rotational mass), with a very small falling mass...as a large wave rolling onto the shore...

       And more...we can manipulate this "wave",in a short discharge,so to close the loop (to get a "self-motion").

                    All the Bests! / Alex

[iacob alex]

   ...is an abstract concept.It can be applied in many circumstances.

      Let's make an exercise of science-fiction.

      So,we have:

       -a horizontal surface

       -a perfect disk shape huge mass,of the size of a... mountain

       - you...on the top position

       Now,if you have  some "free-time" (patience...),can you move this "mountain"(just remaining on the disk surface,on the same spot,nothing more...),so to get out  some "free-motion", with the "price"... to climb again on the top?!

       Remind,for the moment is science-fiction,only!

             All the Bests! / Alex

[iacob alex]

     Hi !

  A first degree lever,usually consists of a rigid bar,free to move about a single point.

  It can be a long arm-short arm shape,placed in the gravitational field.

  If it is set free,with the long arm in the top position,we have an unstable condition,it's a free inverted pendulum.

  When the lever is released,it begins to accelerate,due to the arm difference:the resulted acceleration is much less than the acceleration due to gravity.

  Here we have the same case,as an Atwood machine with a heavy pulley...

  An ideal gravity "mill"  can be imagined in an easy design,as two unequal arms of a lever,with a heavy hub,and a simple switching procedure.

  The main point is, this switching operation,intended to expose( "remake")  the long arm, on the same side of the fulcrum/pivot.

  The  "retarded" fall can be stored in a heavy hub of the lever,as rotational( "on the spot inertia") motion:gravity power moves ("flows") into inertia power.

  As in an Atwood machine with a heavy pulley,this time,the heavy hub is a slight change for the lever,only...

  The assumption is that the (curvilinear) fall "gives" more than "takes" a vertical  "jump up".

  Pay attention:"jump up" is not an "m*g*h" interdiction (you know the theory...),but an "distant action".

  This switching procedure,can be your finding out,from beginning to end...

       All the Bests! / Alex