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Angular and linear velocity of a rigid body given a force.

  1. Jan 12, 2014 #1
    Hello,

    I'm trying to prove a simulation of mine is working correctly. the simulation has a cube of sides 1, mass 1 and c.o.m. position at (0,0,0.5) ie sitting on the xy plane. i have a force along the x axis of 10. Is there anyway given those two, that i can work out the resulting ω and v of the body? the cube is unconstrained.

    this is my first post, so if I've done something wrong i apologise.

    Thanks
     
  2. jcsd
  3. Jan 13, 2014 #2
    ok so i think i've found this:

    ω = I-1Lp

    where I-1 is the inverse of the inertia tensor. Lp is the angular momentum of the point the force is exerted on.

    Lp = s x Mv.

    where s is the position vector of the point relative to the center of mass. M is mass of the object and v is the velocity of the com.

    Can someone at least tell me if this is correct?
     
  4. Jan 13, 2014 #3
    How is (0,0,0.5) on the xy plane? One ussually takes the order (x,y,z)
     
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