(1) Find the Lagrange function 2) Find the generalized forces of the constraint Qk (3) Find the equations of motion of objects. m

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Two objects with masses m and M connect with a massless string via a
massless pulley. Given the surface to be frictionless and an equation of semi-
holonomic constraint, 3yx+ 2xy = 0
where x and y are the two objects' position coordinates,
(1) Find the Lagrange function
(2) Find the generalized forces of the constraint Qk
(3) Find the equations of motion of objects.
m
R
M
Transcribed Image Text:Two objects with masses m and M connect with a massless string via a massless pulley. Given the surface to be frictionless and an equation of semi- holonomic constraint, 3yx+ 2xy = 0 where x and y are the two objects' position coordinates, (1) Find the Lagrange function (2) Find the generalized forces of the constraint Qk (3) Find the equations of motion of objects. m R M
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