Open the PhET Pendulum Lab and select Intro.

In the lower left$-$hand side of the screen, select Stopwatch and Period Trace.

Set the timing from Normal to Slow

Is the period of oscillation independent of amplitude? Displace the mass at some initial angle to the left of the screen. Release the mass and start the timer when it reaches maximum displacement on the right side. Do not stop the timer until the mass returns to this point. Collect data for three trials and use this Desmos calculator to calculate the mean period of oscillation.

While keeping the amplitude constant, change the object's mass to $0\mathrm{.}5$ kg and again to $1\mathrm{.}5$ kg$.$ For each mass, collect data for three trials and calculate the mean period of oscillation.

While keeping the amplitude and mass constant, change the string's length to $0\mathrm{.}5$ m and again to $1$ m$.$ For each length, collect data for three trials and calculate the mean period of oscillation.

Based on your results, does the period of oscillation depend on mass? Does the period of oscillation depend on length? Use your data to justify your reasoning.

For a simple pendulum like a swinging chandelier, incense censer, or a mass on a string, the period of oscillation $($T$)$ is given by

T$=2$Lg

where L is the length of the string and g is the acceleration of gravity with units of m$/$s$/$s orm$/$s$2.$ Use this equation, your data, and this Desmos calculator to determine the acceleration of gravity on Earth.

Use the equation above to find the approximate period of oscillation of a playground swing and of Galileo's chandelier. List any assumptions you make.

Use the PhET to compare the period of oscillation of a simple pendulum with a length of $1$ m on Earth, on the Moon, and on Jupiter. Describe your observations.