A wire whose equation is Z = a(x +y) is rotated about z axis with constant angular velocity o. Zbeing vertical Abead of mass m slides on the wire. Lagrangian of the bead 44. is: +. (c) -m(r +r* sin* Ge*)- mgar?

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A wire whose equation is Z = a(x* + y*) is rotated about z axis with constant angular
velocity . Zbeing vertical A bead of mass m slides on the wire. Lagrangian of the bead
is:
44.
(a) m(r* +r*o*)- mgar?
(b) =m[*(1+4r°a*)+r°o°]-mgar?
(e) m(r² +r* sin² 0w² )- mgar²
(4) *(1+4r²a²}+ r°a² sin o]-mgar
Transcribed Image Text:A wire whose equation is Z = a(x* + y*) is rotated about z axis with constant angular velocity . Zbeing vertical A bead of mass m slides on the wire. Lagrangian of the bead is: 44. (a) m(r* +r*o*)- mgar? (b) =m[*(1+4r°a*)+r°o°]-mgar? (e) m(r² +r* sin² 0w² )- mgar² (4) *(1+4r²a²}+ r°a² sin o]-mgar
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