Applion) If the kinetic energy T and the potential energy V of a mechanical system are respectively by: T (k- v ="(k+1)q (i)Find Lagrange's functions. (iii) Find Hamilton's functions. (ii) Find Lagrange's equations of motion. (iii) Find Hamilton's equations.
Applion) If the kinetic energy T and the potential energy V of a mechanical system are respectively by: T (k- v ="(k+1)q (i)Find Lagrange's functions. (iii) Find Hamilton's functions. (ii) Find Lagrange's equations of motion. (iii) Find Hamilton's equations.
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Transcribed Image Text:Applion) If the kinetic energy T and the potential energy V of a mechanical system are
respectively by:
T = (k +4
=" (k-
(i)Find Lagrange's functions.
(ii) Find Hamilton's functions.
(ii) Find Lagrange's equations of motion.
(iii) Find Hamilton's equations.
(K + 1)n²
iv) Prove that 9,(1)-9:(1) = Acos (Nt + B) where A,N,B,n,k are constant, N =
k
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