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List of examples

Example 1

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Find the equilibrium position of the system

Example 1

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Using the Lagrange's equation of the second kind, determine the equation of motion.

Example 2

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Using the Lagrange's second kind equation, determine the equation of motion.

Example 2

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Find the equilibrium position of the system

Example 3

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By using Lagrange's equation of the second kind, we can determine the equation of motion.

Example 3

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The rods are weightless. The value of the suspended weight force is \(P=k\cdot l\), the spring is not deformed for \(\varphi={30}^o\). Determine the equilibrium positions and investigate their stability.

Example 4

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For \(\varphi=0\), the spring is undeformed. Determine the equilibrium positions and analyze their stability. We neglect the masses of the rods; the spring is linear. \(P=kl\).

Example 4

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By using the second kind Lagrange equation, determine the equation of motion.

Example 5

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Determine the equilibrium positions and analyze their stability.

Example 5

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Using the Lagrange's second kind equation, determine the equation of motion.

Example 6

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Using Lagrange's equation of the second kind to determine the equation of motion.

Example 7

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Using Lagrange's equation of the second kind to determine the equation of motion.

Example 8

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Using Lagrange's second kind equation, determine the equation of motion.

Example 9

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Using Lagrange's second type equation to determine the equation of motion.

Example 10

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Using Lagrange's second kind equation, determine the equation of motion.