A uniform meter stick is hung at its center from a thin wire. It is twisted and oscillates with a period of 5 s. The meter stick is then sawed off to a length of 0.76 m, rebalanced at its center, and set into oscillation. With what period does it now oscillate?

The new time period is  

Explanation:

From the question we are told that

  The period of oscillation is  

   The  new  length is  

Let assume the original length was

Generally the time period is mathematically represented as

Now  I is the moment of inertia of the stick which is mathematically represented as

So

Looking at the above equation we see that

=>    

=>    

=>