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

[calvinwylie]

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

 

[calvinwylie]

ok so i think I've found this:

ω = I^-1L_p

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

L_p = 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?

 

[facenian]

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.
Thanks

How is (0,0,0.5) on the xy plane? One ussually takes the order (x,y,z)