Choose the correct number below. The Lagrangian of a particle of mass m moving in one dimension is given by:       L = 12 m x2 – b x   Where b is a positive constant. The coordinate of the particle x (t) at a time t is given by:   A. - b2m t2 + C1 t + C2  B. C1 t + C2 C. C1 Cos (btm) + C2 Sin (btm) D. C1 Cosh (btm) + Sinh (btm)   show how you got it. All steps must be clearly shown.

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Choose the correct number below.

The Lagrangian of a particle of mass m moving in one dimension is given by:

 

    L = 12 m x2 – b x

 

Where b is a positive constant. The coordinate of the particle x (t) at a time t is given by:

 

A. - b2m t2 + C1 t + C2 

B. C1 t + C2

C. C1 Cos (btm) + C2 Sin (btm)

D. C1 Cosh (btm) + Sinh (btm)

 

show how you got it. All steps must be clearly shown.        

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