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I Moment of inertia of two cylinders placed vertically

  1. Mar 28, 2017 #1
    if i have two cylinders with same mass and radius placed over each other vertically and there is a motor inside the top cylinder welded in the cylinder itself, and connected to the bottom cylinder to rotate the bottom cylinder. assume it's the whole thing is resting on the ground and neglect friction with ground. if i try to calculate the moment of inertia of the bottom cylinder for the motor to rotate should i put the mass of the bottom cone only or add the mass of the whole thing? and if yes add all the mass, how to manipulate the whole thing to make the motor rotate the bottom cylinder instead of the top one. what i have in mind is if the mass of top cylinder with motor is 10 kg and bottom is 5kg i just have to change the length of lever which is between motor and top cylinder and make it shorter than the lever in the bottom cylinder between the shaft of motor inside the bottom cylinder welded to the walls of bottom cylinder so actually changing the radius of the bottom cylinder. Hope this makes sense
     
  2. jcsd
  3. Mar 28, 2017 #2
    the whole object is just hanged by a cable (no fixed frame)
     
  4. Mar 28, 2017 #3
    By Newton's third law, rotating the bottom one also rotate the top one.
     
  5. Mar 28, 2017 #4
    could you please elaborate more, will both cylinders rotate or only top or bottom?
    i'm really confused about this and also regarding the moment of inertia of the whole thing or is it seperate
     
  6. Mar 28, 2017 #5
    Angular momentum is conserved. So if you use a motor to turn one half, the other half will turn in the other direction.

    Can you draw your setup? I don't understand what you mean by some things.
     
  7. Mar 28, 2017 #6
    here is a rough drawing of what i mean.
    if my motor rotates both sides as you said, now how to make the bottom rotate and drill in wood vertically without any fixed frame just like drawing only weight of the whole thing. will it drill in wood and rotate top bottom or because there is no fixed frame it will rotate only top cylinder with motor in opposite direction; if so then is there a way that i can manipulate the length of the lever from motor to cylinder and the lever from motor shaft to cylinder wall (bottom cylinder, the one that will drill in wood and assume it has teeth)
     

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  8. Mar 28, 2017 #7
    If you don't want the top to rotate, you have to attach it to something.
     
  9. Mar 28, 2017 #8
    My main concern is the bottom to rotate and drill in wood
    But what I think will happen because there is no fixed frame the motor in top will rotate relatively and bottom will stay stationary due the contact with wood
     
  10. Mar 28, 2017 #9
    Yup. That's exactly what will happen. It sounds like you have a power drill dangling from a wire. You can't hope to drill wood unless you hold the drill with your hands or mount it to something.
     
  11. Mar 28, 2017 #10
    Another option is to use two drills rotating in opposite directions to cancel out the rotation.
     
  12. Mar 28, 2017 #11
    what do you mean by two drills in opposite direction cancel out the rotation.
    would you please explain in details and if possible attach a video so i can see how to do it.
    i would really appreciate it
    thank you
     
  13. Mar 28, 2017 #12

    jbriggs444

    User Avatar
    Science Advisor

    What comes to mind is a sort of Forstner bit with a hole in the center through which a counter-rotating regular bit would fit. The hope would be that the torques from the two bits would be equal and opposite. Quite impractical though. It is far easier to just hold onto the drill.
     
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