Show that if the angular momentum of a body is determined with respect to an arbitrary point A, then H A can be expressed by Eq 21 9 This requires substituting A G G A into Eq 21 6 and expanding, noting that G dm 0 by definition of the mass center and v G v A X G A X Z X Z PG A G PG PA P y Y...

Since pAdm X V L PA VA H U PG PGA dm LP ...

Show that if the angular momentum of a body is determined with respect to an arbitrary point

Question:

Show that if the angular momentum of a body is determined with respect to an arbitrary point A, then H_A can be expressed by Eq. 21-9. This requires substituting ρ_A = ρ_G + ρ_G/A into Eq. 21-6 and expanding, noting that ∫ρ_G dm = 0 by definition of the mass center and v_G = v_A + ω X ρ_G/A.