Even though mass is not a force, we do not need to convert the masses to forces when using a force table.
Using the forces in grams will help us in the third step when determining uncertainties.
A force of 130g acts at 0° while a force of 190 acts at 137°
Your crazy uncle Mike has odd preferences for where weights should hang on the force table and an obssession with balance. He's only happy if a 130 g weight hangs from 0°, and a 190 g weight hangs from 137°.
a) Draw a vector diagram (to scale) of the two given forces on the disc, labeling the weights and angles.
b) Calculate the predicted weight and angle (ignore uncertainty) of the third force. Draw and label this third force to scale in the correct place on your vector diagram.
c) The percent uncertainty = 1.71%; use this to calculate the mass uncertainty for the two given masses and propogate this uncertainty to find the uncertainty in the predicted magnitude for the third force (ignore angle uncertainty). Is this predicted third force consistent with the force from the third mass (with uncertainty) that you actually found in b?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Equilibrium in 2D concept. You can view video lessons to learn Equilibrium in 2D. Or if you need more Equilibrium in 2D practice, you can also practice Equilibrium in 2D practice problems.