6fe39e8d5ce4ce746ca256dfea665eda Mit8 09f14 Chapter 2

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chapter 2 rigid body dynamics 2 1 coordinates of a rigid body aset of n particles forms a rigid body if the distance between any 2 particles is xed r ...

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...Chapter rigid body dynamics coordinates of a aset n particles forms if the distance between any is xed r c constant ij i j given these constraints how many generalized are there we know non collinear points in remaing fully determined by triangulation rst point has for translation dimensions second spherical rotation about as third one coordinate circular axis and hence independent represented fig this result so also applies to continuous limit figure can be using only since distances two other translations require three spatial taken from typically center mass cm dened xmr m where th particle position that with respect origin set axes which will notationally unprimed case denition generalizes z dv v density at integrate over volume translational correspond rotational angles necessary dene orientation rotations xing denote primes describing their aparticularly useful choice called euler angle forming new x y while leaving unchanged shown then finally line nodes it intersection xy plane...

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Posted on: 20 Jan 2023 | 4 years ago
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