- #1
ElDavidas
- 80
- 0
hey everyone, I've been working through a past paper and I'm stuck on a question:
"(a) Consider a system consisting of n distinct particles P1, P2, : : :, Pn, with masses m1, m2, ..., mn and position vectors r1, r2, : : :, rn, relative to the origin O of an inertial frame, respectively.
For each i = 1, 2, : : :, n, suppose that the only forces acting on Pi are internal forces Fij , which always act along the line joining Pi and Pj , for j = 1, 2, : : :, n and j doesn't equal i.
Assume that Fij = ¡Fji for i = 1, 2, : : :, n, j = 1, 2, : : :, n and i doesn't equal j.
Define what is meant by the total angular momentum of the system about O.
Show, as a consequence of Newton's second law, that the total angular momentum of the system about O is constant."
I can define the total angular momentum of the system, it's the 2nd part of the Q I have trouble with.
Thanks
"(a) Consider a system consisting of n distinct particles P1, P2, : : :, Pn, with masses m1, m2, ..., mn and position vectors r1, r2, : : :, rn, relative to the origin O of an inertial frame, respectively.
For each i = 1, 2, : : :, n, suppose that the only forces acting on Pi are internal forces Fij , which always act along the line joining Pi and Pj , for j = 1, 2, : : :, n and j doesn't equal i.
Assume that Fij = ¡Fji for i = 1, 2, : : :, n, j = 1, 2, : : :, n and i doesn't equal j.
Define what is meant by the total angular momentum of the system about O.
Show, as a consequence of Newton's second law, that the total angular momentum of the system about O is constant."
I can define the total angular momentum of the system, it's the 2nd part of the Q I have trouble with.
Thanks