A particle o frnass m' moves in horizontal plane along the curve s= a0 as shown in figure, where o is angle made by tangent to the curve with x-axis ands is the distance coverved along the curve. Lagrangian of particle is : 41. y (b) m sin² nn (0) –ma² cos² né² (d) mu² sin² o6² 42. In previous question if equation of path of the particle be s= 4a sino then its lagrangian is: (a) 4ma²ô² (1+ cos 20) (b) 4ma²o* (1-cos 20) (e) 2ma-o* (1+ cos 20) (d) 8ma 0 cos e

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.21P
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A particle o frnass m' moves in horizontal plane along the curve s = a0 as shown in
figure, where o is angle made by tangent to the curve with x-axis ands is the distance
coverved along the curve. Lagrangian of particle is :
41.
(b) - ma sin nà (e) -ma cos² no² (d) mu² sin² eô?
In previous question ifequation of path of the particle be s = 4a sin0 then its lagrangian
42.
is:
(a) 4ma²ó* (1+ cos 20)
(b) 4ma 0* (1-cos 20)
(c) 2ma o (1+ cos 20)
(d) Sma-6 cos 0
Transcribed Image Text:A particle o frnass m' moves in horizontal plane along the curve s = a0 as shown in figure, where o is angle made by tangent to the curve with x-axis ands is the distance coverved along the curve. Lagrangian of particle is : 41. (b) - ma sin nà (e) -ma cos² no² (d) mu² sin² eô? In previous question ifequation of path of the particle be s = 4a sin0 then its lagrangian 42. is: (a) 4ma²ó* (1+ cos 20) (b) 4ma 0* (1-cos 20) (c) 2ma o (1+ cos 20) (d) Sma-6 cos 0
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