2. The pendulum of a grandfather clock consists of a thin rod of length 3R and mass M, attached to a thin-walled hoop of radius R and mass 3M. 3R a. What is the moment of inertia of the rod about the axis shown? R axis of M rotation 3M b. What is the moment of inertia of the hoop about the axis shown? Hint: use the parallel axis theorem I = lem + mh? where Icm is the moment of inertia through a parallel axis through the center of mass and h is the distance between the two axis. c. What is the total moment of inertia of the pendulum (rod and hoop) about the axis of rotation shown? Check that your answer only contains knowns M and R and is dimensionally correct.

University Physics Volume 1
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 94AP: A top has moment of inertia 3.2104kgm2 and radius 4.0 cm from the center of mass to the pivot point....
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2. The pendulum of a grandfather clock consists of a thin rod
of length 3R and mass M, attached to a thin-walled hoop of
3R
radius R and mass 3M.
a. What is the moment of inertia of the rod about the axis
shown?
axis of
M
rotation
3M
b. What is the moment of inertia of the hoop about the axis shown? Hint: use the parallel axis theorem I = lem +
mh? where lem is the moment of inertia through a parallel axis through the center of mass and h is the distance
between the two axis.
c. What is the total moment of inertia of the pendulum (rod and hoop) about the axis of rotation shown? Check
that your answer only contains knowns M and R and is dimensionally correct.
Transcribed Image Text:2. The pendulum of a grandfather clock consists of a thin rod of length 3R and mass M, attached to a thin-walled hoop of 3R radius R and mass 3M. a. What is the moment of inertia of the rod about the axis shown? axis of M rotation 3M b. What is the moment of inertia of the hoop about the axis shown? Hint: use the parallel axis theorem I = lem + mh? where lem is the moment of inertia through a parallel axis through the center of mass and h is the distance between the two axis. c. What is the total moment of inertia of the pendulum (rod and hoop) about the axis of rotation shown? Check that your answer only contains knowns M and R and is dimensionally correct.
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