Mechanics Problem: Time Period of Simple Pendulum with Uniform Rod and Mass m

[neelakash]

Homework Statement

In a simple pendulum the string supporting the bob is replaced by a uniform rod of length L and mass M.Find the nw time period for small oscillations.Mass of the bob m.

Any help how to do it correctly?

Homework Equations

The Attempt at a Solution

Any help how to do it correctly?

 

[ank_gl]

i guess the mass of string was neglected
and now since the rod has mass M, the CG of the system has changed

 

[cepheid]

Basically, this is a physical pendulum now. Sure, the centre of mass has changed. So has the moment of inertia. If I remember right, the moment of inertia of a physical pendulum determines its period, but you'll have to derive the exact relation.