3) A thin rod of mass m and length / is balancing vertically on a smooth horizontal surface. The rod is disturbed slightly and falls to the right. Using the angle between the ground and rod as your generalized coordinate, derive the equations of motion using both the Newton-Euler approach (F=ma) and Lagrange's equations. Show that the solutions are the same. Answer: m,l 1 m²² (3cos²0 + 1) =ml²0² cosesine +mglcos0 = 0 12 2 rod

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3) A thin rod of mass m and length / is balancing vertically on a
smooth horizontal surface. The rod is disturbed slightly and falls to
the right. Using the angle between the ground and rod as your
generalized coordinate, derive the equations of motion using both
the Newton-Euler approach (F=ma) and Lagrange's equations.
Show that the solutions are the same.
Answer:
m,l
1 m1² (3cos²0 + 1)-ml²6² cosesine +mglcose = 0
rod
Transcribed Image Text:3) A thin rod of mass m and length / is balancing vertically on a smooth horizontal surface. The rod is disturbed slightly and falls to the right. Using the angle between the ground and rod as your generalized coordinate, derive the equations of motion using both the Newton-Euler approach (F=ma) and Lagrange's equations. Show that the solutions are the same. Answer: m,l 1 m1² (3cos²0 + 1)-ml²6² cosesine +mglcose = 0 rod
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