Thank you for your responses! In order to prove that it's motion is circular wouldn't it be sufficient to prove that ω is constant?
Could you "boost" me a bit?
Good afternoon!
Exercise: Prove that if a body moves under the action of a force F = k⋅u × v, where u is an arbitrary unit vector and v the velocity, the motion is circular with angular velocity ω = k ⋅ u or, in a more general case, a spiral parallel to u.
Source: (Alonso & Finn: Fundamental...