Consider N objects of masses ma (1 < a < N) located at the cylindrical coordinates...

 

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Consider N objects of masses ma (1 < a < N) located at the cylindrical coordinates (ra, Ya, Za). These particles revolve around the z-axis with angular velocity w. Show that (a) the o-component of the velocity of the ath object is given by v = raw; (b) the z-component of the angular momentum of the ath object is given by () = marw; (c) the z-component of the total angular momentum can be written as where L = Iw, (2.1) I = Ema iMz = mar. (2.2) Consider N objects of masses ma (1 < a < N) located at the cylindrical coordinates (ra, Ya, Za). These particles revolve around the z-axis with angular velocity w. Show that (a) the o-component of the velocity of the ath object is given by v = raw; (b) the z-component of the angular momentum of the ath object is given by () = marw; (c) the z-component of the total angular momentum can be written as where L = Iw, (2.1) I = Ema iMz = mar. (2.2)