Recent content by xyge

yes, correct. sorry, i should use a new notation for this torque (which is different from the torque generated by the impulse): ## \tau_{new} ##. and this torque is created by ## \vec{F}_{net} ##. Here I update the equation using the new notation: \begin{equation} \mathbf{a} = \vec{F_{net}}/m...

looks great ! thanks. I am just wondering what will happen if the object is affected by a constant force through the motion, In this case, we have to include a. is it like: \begin{equation} \mathbf{a} = \vec{F_{net}}/m + \tau / I \times (p_i(t) - p_r(t)) - \omega_0^2(p_i(t) - p_r(t)) \\ \tau...

Sorry it made you confused. what i want to say is, there is an impulse J applied at a time point t1 and lasts for Δt, and I am interested in the position of a particle at a later time point t2 after the impulse is applied. Initially I thought Δt is very short (i.e. t1 + Δt ≈ t1) so I ignored the...

Thank you for your reply. I changed the assumption to " the object is only affected by the force of gravity". does the equation make sense?

1. Problem Statement Assume there is an rigid object with mass m in 2D space, an impulse J = FΔt is applied at time t1 at the particle Pimp and Pimp is on the exterior boundary of the object. The impulse cause a free plane motion of the object and the object is only affected by the force of the...