A physical pendulum consists of a rod of mass 11.5 kg and length 2.6m. The rod i

Question

A physical pendulum consists of a rod of mass 11.5 kg and length 2.6m. The rod is free to rotate about an axis 0.05m below the top.

a. Draw a picture of the pendulum labeling center of mass of the rod and the axis of rotation
b. What is the rotational inertia of the rod about its center of mass? Note which expression for the rotational inertia of the rod is correct for this orientation
c. What is the rotational inertial of the rod about the axis of rotation? Remember the parapple axis theorem
d. What is the period of the rod?
e. What is the frequency and angular frequency of the rod
f. What is the equation of motion of the pendulum if the pendulum is at a maximum displacement of .4m at t=0s?
g. What is the maximum velocity of the rod and when does it occur in the motion?
h. What is the maximum acceleration of the rod and when does it occur in the motion
i. Graph the displacement vs time for this pendulum
j. What is the total energy of the pendulum?
k. What kind of energy is present at the maximum displacement of the pendulum?
l. What kind of energy is present at the lowest part of the pendulums swing?
m. What kind of energy is present at a point in the motion between maximum displacement and maximum velocity?
n. How long does it take for the pendulum to swing form maximum displacement on the positive side to maximum displacement on the negative side?

I know its a lot of questions, but your help will be greatly appreciated. plzzzz help me out with thorough explanations??

Explanation / Answer

ml^2/12

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