Problem 2 Consider the elastic pendulum shown in the figure below.The pendulum con- si sts of a bob of mass m, connected to a spring of spring constant k Let la be the length of the spring at equilibrium, and r be the elongation. The bob is free to move in 3D. 1. Calculate the degrees of freedom of the block 2. What is the kinetic energy of the block 3. What is the potential energy of the block
Problem 2 Consider the elastic pendulum shown in the figure below.The pendulum con- si sts of a bob of mass m, connected to a spring of spring constant k Let la be the length of the spring at equilibrium, and r be the elongation. The bob is free to move in 3D. 1. Calculate the degrees of freedom of the block 2. What is the kinetic energy of the block 3. What is the potential energy of the block
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3. The object is subjected to a sinusoidal force given by F(t) = Fasin(wt)
where Fo = 2N and w = 30rad/sec. In steady state, what is the
amplitude of forced oscillation?
Problem 2
Consider the elast ic pendulum shown in the figure below.The pendulum con-
si sts of a bob of mass m, connected to a spring of spring constant k Let lo
be the length of the spring at equilibrium, and r be the elongation. The bob
is free to move in 3D.
1. Cal
the degrees of freedom
block
2. What is the kinetic energy of the blok
3. What is the potential energy of the block
4. Write the Lagrangian function (don't derive the Euler Lagrange equa-
tions)
y
m
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