Recent content by Hans Stricker
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Graduate Three-Body Problem with Symmetry: Finite Masses and Spring Constants Considered
Consider the problem of three bodies two of which having mass M, one of them having mass m. Body m is in the middle between the other two, coupled to them by two equal linear springs in rest. Now fix the two bodies M and move body m for a small amount perpendicular to the connection line. Now...- Hans Stricker
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- Replies: 1
- Forum: Mechanics
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Graduate Two interacting bodies in an external field
Please consider a homogenous, but not constant field, for example given by mgh2. Two bodies connected by a rigid rod falling free will start rotating when the field mgh2 is suddenly switched on, except they are at the same height at this moment. I guess this case can be calculated easily...- Hans Stricker
- Post #8
- Forum: Mechanics
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Graduate Two interacting bodies in an external field
Sorry for any confusion, but I am dedicatedly interested in the non-mgh case (where separation cannot be performed): I wonder under which circumstances there can be a closed solution nevertheless.- Hans Stricker
- Post #5
- Forum: Mechanics
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Graduate Two interacting bodies in an external field
Hello Petr, thanks, but I am not quite sure how to understand your answer. You distinguish four cases: In the case the two masses form a rigid body, conservation of angular momentum says they rotate at all times the way they rotate at the beginning. In the case of a central potential...- Hans Stricker
- Post #3
- Forum: Mechanics
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Graduate Two interacting bodies in an external field
I wonder about the general solvability of the problem of two point masses, interacting via a central force, exposed to an external field. Some special cases seem easy: - interaction by a rigid rod - any interaction, but the field and interaction forces "decoupled" (example: two...- Hans Stricker
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- bodies Field
- Replies: 7
- Forum: Mechanics