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Two blocks with respective masses m,=2m and m,=m are connected through a light string over a frictionless pulley as shown in the figure below. The pully's moment of inertia I=mR and the incline has an angle a=30°. (a) Write down the Constraint Relations. (b) Obtain an expression for the Lagrangian function. (c) Derive the Lagrange equations with Undetermined Multipliers.

Two blocks with respective masses m,=2m and m,=m are connected through a light string over a frictionless pulley as shown in the figure below. The pully's moment of inertia I=mR and the incline has an angle a=30°. (a) Write down the Constraint Relations. (b) Obtain an expression for the Lagrangian function. (c) Derive the Lagrange equations with Undetermined Multipliers.

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Two blocks with respective masses m,=2m and m,=m are connected through a light string over a frictionless pulley as shown in the figure below. The pully's moment of inertia I=mR and the incline has an angle a=30°. (a) Write down the Constraint Relations. (b) Obtain an expression for the Lagrangian function. (c) Derive the Lagrange equations with Undetermined Multipliers. (d) Calculate the linear acceleration of the system. (e) Deduce the value of the tensions in the string. I; R m2 m1 300
Transcribed Image Text:Two blocks with respective masses m,=2m and m,=m are connected through a light string over a frictionless pulley as shown in the figure below. The pully's moment of inertia I=mR and the incline has an angle a=30°. (a) Write down the Constraint Relations. (b) Obtain an expression for the Lagrangian function. (c) Derive the Lagrange equations with Undetermined Multipliers. (d) Calculate the linear acceleration of the system. (e) Deduce the value of the tensions in the string. I; R m2 m1 300
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