Measured values:
radius of pulley R = _________ +/- ___________ cm
mass of falling weight m = _________ +/- ___________ grams
mass of brass weight 1 M1 = _________ +/- ___________ grams
mass of brass weight 2 M2 = _________ +/- ___________ grams
dist weight-to-axis 1 L1 = _________ +/- ___________ cm
dist weight-to-axis 2 L2 = _________ +/- ___________ cm
----------------------------------------------------------------------------
Computed values
rod alone rod-plus-weight
Use a graph to determine linear acceleration of the falling weight
acceleration of weight a = _________ +/- ___________ cm/s^2 a = _________ +/- ___________ cm/s^2
Write an equation to compute the tension in the string
_________________________
now calculate it
tension of string T = _________ +/- ___________ g*cm/s^2 T = _________ +/- ___________ g*cm/s^2
Write an equation to compute the torque on the pulley
_________________________
now calculate it
torque on pulley tau = _________ +/- ___________ g*cm^2/s^2 = _________ +/- ___________ g*cm^2/s^2
Write an equation to compute the angular acceleration of the pulley
_________________________
now calculate it
ang accel of pulley alpha = _________ +/- ___________ rad/s^2 = _________ +/- ___________ rad/s^2
Write an equation to compute the moment of inertia of bare rod
_________________________
now calculate it
mom of rod only I(rod) = _________ +/- ___________ g*cm^2
Write an equation to compute the moment of inertia of rod-plus-weights
_________________________
now calculate it
mom of rod-plus I = _________ +/- ___________ g*cm^2
Write an equation to compute the moment of inertia of weights only
_________________________
now calculate it
mom of weights I(weights) = _________ +/- ___________ g*cm^2
Okay, good. All the values above are based on measurements of the
falling weight causing the rod and brass cylinders to spin.
Now, let's use theory. You can compute the moment of inertia of the
two brass cylinders easily if you approximate them to be point masses
spinning around the central axis.
Write an equation to compute the THEORETICAL moment of inertia of weights only
_________________________
now calculate it
THEORY mom I(theory) = _________ +/- ___________ gram*cm^2
Do the theoretical and measured values agree?