The pendulum in the figure consists of a uniform disk with radius r = 11.0 cm...
The pendulum in the figure consists of a uniform disk with radius r = 11.0 cm and mass 400 g attached to a uniform rod with length L = 410 mm and mass 250 g. (a) Calculate the rotational inertia of the pendulum about the pivot point. (b) What is the distance between the pivot point and the center of mass of the pendulum? (c) Calculate the period of oscillation.
Homework Answers
A)
Moment of inertia, I = (0.4 x 0.11^2/2) + 0.4(0.11 + 0.41)^2 + 0.25(0.41^2)/3
I = 0.12 kg m^2
B)
Distance, d = (0.4 x (0.11 + 0.41) + 0.25(0.4)/2)/(0.4 + 0.25) = 0.40 m
C)
Time, t = 2pi sqrt(0.12/(0.4 + 0.25) 9.8 x 0.4) = 1.36 sec
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