Question: Your crazy uncle Mike has odd preferences for where weights should hang on the force tablet and an obsession with balance. He's only happy if a 130g weight hangs from 0 degrees, and a 190g weight hangs from 137 degrees.
a) where does the third weight need to hang in order for the central disk to be balanced?
b) how much should it weigh?
c) Assume the two given angles have no uncertainty. Use the percent uncertainty on mass found above to calculate the uncertainty in the magnitude of the forces from the given two masses, and propagate this uncertainty to find the uncertainty in the predicted magnitude for the third force neglecting its angle uncertainty