The purpose of this lab was to learn angular momentum with an our expierment by first breaking our problem down to three steps and predicting the final height of our experiement.
Experiment:
The first part of experiment was setting up the equipment which included a meter stick, a clay ball, a stand to hold the meter stick which is spun on, and another stand to hold the clay ball.
The purpose of the device is raid the meter stick to a 90 degree angle and let the meter strick rotate at the other end of the stick which would allow the bottom end to collide with the clay ball.
L = 1m
clay = 37g
stick = 136 g
The first part of the experiment is conservation of angular energy.
Here is the formula for part 1:
mgh/2 = 1/2 I w^2
mgL/2 = 1/2(1/3ML^2)w^2
w = 5.422 rad/s
Once the meter stick collides with the clay ball energy is not coserved so we must use angular momentum which is conserved to figure out how fast the meter stick and the clay ball will be travling in an angular motion.
Here is the formula for part 2:
Iw = Iw
1/3(ML^2)w = (1/3ML^2 + mL^2)wf
wf = 2.9854 rad/s
After the colision we can once again use conservation of angular energy to predict how high the stick and clay ball will travel back up.
Here is the formula for part 2:
1/2(Iw^2) = Mgh/2 + mgh
1/2(1/3ML^2 + mL^2) w^2 = MgL/2 + mgh
h = 0.35527 m
Are actual height is very close to our calculated height. We had no sensors to measure the actual height, so we had to visually measure where the clay stopped.
Here is a picture of the setup described.
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