Ruler and clay

The purpose of this lab is studying about the maximum height after the ruler impacts and sticks to the clay can reach. 

Data:

mass of ruler 0.088 kg

mass of clay 0.025 kg

the length of ruler: 1 m

the distance between the hole on ruler and one end side of ruler: 0.99 m

First of all, we need to know the inertia of the ruler rotating around the hole.

the inertia of ruler rotating around hole is 0.02846 kg*m^2

And then, we need to know the angular speed of the ruler before it stick to the clay, so we assume there is not friction between the ruler and the hole.

According to the conversation of angular momentum, we use below function to find the angular speed of the ruler and clay after collision.

And then,we are able to get the high:

The expected height is 0.3344 m.

However, in the experiment, we only got 0.135 m.

Conclusion, the expected data and real data are not quite same, but we have expected it because when the ruler hit the clay that stick to a rod, stickiness made the ruler slow down too much.