Friday, December 5, 2014

11/25/2014 Mas Spring Oscillations Lab

Purpose:

For this lab we are going to test how the period of a spring with hanging mass is affected by the spring constant and or the hanging mass.

Experiment:

In this lab the class separated into eight groups where four groups would share there measured information with in the four groups.

Each group of the four had unique spring with separate spring constant values. To make sure we all usable reading we had to make sure all our spring weight was the same so every one had to add weight to our system to make sure the values where good. We did this by taking the heaviest spring and taking a third of the mass  so all one third of the spring mass was equal.

Our group had to add 5g to our system to make up for the heavier spring.

First part we had to measure the spring constant which we did by attaching a hanging mass to our spring and measure the acceleration due to gravity and spring constant. We used a motion sensor below the mass to measure its acceleration.

The formula we used was

mg - kx = ma

Our K value was 5.0405

Our mas of our spring is 11g

Here is a picture of our system to measure the spring constant.

Now we used our motion sensor to measure the period of the mass and spring on our system with logger pro. We did this by measure the distance it would travel and the time it would take to go and down.

We repeated this experiment four time increasing the mass. Mass is the mass we had to add to a 100g hanging mass. Period is in seconds

Mass     Period
05g        0.95 s
55g        1.1   s
105g      1.3   s
155g      1.4   s



Next we got the information from the other groups to graph the change of period due to mass and spring constants.

Here is our graph period vs mass which shows as the mass increases the period also increases.
This graph is of only our spring system.


Next is period vs spring constant of the hanging mass 100g and the added mass to make the system equal for all springs. With higher spring constants the smaller the period of the system be.



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