Publem 2 Consider the elastic pendulum shown in the figure below.The pendulum con- sists of a bob of mass m, connected to a spring of spring constant k Lat la be the length of the spring at equilibrium, and r be the elongation. The bob is free to mow in 3D. 1. Calculate the degrees of freedom of the ldock 2. What is the kinetie energy of the blodk 3. What is the potential energy of the block 4. Write the Lagrangan function (don't derive the Euler Lagrange equa- tioa) y E
Publem 2 Consider the elastic pendulum shown in the figure below.The pendulum con- sists of a bob of mass m, connected to a spring of spring constant k Lat la be the length of the spring at equilibrium, and r be the elongation. The bob is free to mow in 3D. 1. Calculate the degrees of freedom of the ldock 2. What is the kinetie energy of the blodk 3. What is the potential energy of the block 4. Write the Lagrangan function (don't derive the Euler Lagrange equa- tioa) y E
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Transcribed Image Text:Poblem 2
Consider the elastic pendulum shown in tbhe figure below. The pendulum con-
sists of a bob of mass m, connected to a spring of spring constant k Let la
be the letngth of the spring at equilibrium, and r be the elongation. The bob
is free to mowe in 3D.
1. Caleulate the degrees of freedom of the block
2. What is the kinetic encrgy of the block
3. What is the potential energy of the block
4. Write the Lagrangian function (don't derive the Euler Lagrange oqua-
tiots)
E
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