Consider the block of mass m, connected to a spring of spring constant k and placed on a inclined plane of angle a. Let la be the length of the spring at equilibrium, and r be the elongation. The block oscillates and at the same time is rotating around origin O, in the plane of the inclined, by a variable angular velocity d. 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
Consider the block of mass m, connected to a spring of spring constant k and placed on a inclined plane of angle a. Let la be the length of the spring at equilibrium, and r be the elongation. The block oscillates and at the same time is rotating around origin O, in the plane of the inclined, by a variable angular velocity d. 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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analytical mechanics
Transcribed Image Text:Problem 2
Consider the block of mass m, connected to a spring of spring constant k and
placed on a inclined plane of angle a. Let la be the length of the spring at
equili brium, and r be the elongation. The block oscillates and at the same
time is rotating around origin 0, in the plane of the inelined, by a variable
angular velocity .
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
4. Write the Lagrangian function (don't derive the Euler Lagrange equa-
tions)
reference plane
m
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