Use a simple pendulum to test SHM and measure the value of **g**.

- Set things up so that a 50-gram mass hangs from a long piece of string. Run the string through one of the holes in the 3-knob bar, and wrap one or two loops around a knob to hold it in place. Make sure that you can swing the mass freely when the string is 80 cm long.
- Make measurements with at least 4 different lengths
**L**, ranging from about 7 cm to about 80 cm. Measure the time to swing back-and-forth 10 times with small angular amplitude: start at an angle of about 10 degrees from the vertical. Make 2 trials at each length. - Make a neat table with your results, showing the period, and period squared, in each case.
- Create one graph with your data. Make a graph of the period squared versus the length of the string.
- Determine the slope of line connecting your measurements and the uncertainty in the slope.
- Use the slope (and uncertainty) to compute a value for the local acceleration due to the gravity (and its uncertainty). Does your value agree with the standard one?

- Use your graph to find the length of a pendulum which would have a period of exactly one second. Does that length have any significance?
- What is one simple modification you could make to improve
the precision of your value of
**g**?