# Question: a linear spring k is restricted so that it can...

###### Question details

A linear spring k is restricted so that it can move only vertically, as shown in the figure. A massless link of length L has one hinged at the end of the spring and a point of mass m attached at the other end.

- Identify possible set of generalized coordinates describing the motion.
- Write the potential and kinetic energy expression
- Derive Lagrange’s equations of motion about the equilibrium position. Assume small motions.