A pendulum of a Grandfather clock consists of a disk of mass 2M and radius R fixed to the end of a rod of mass M and length L = 3R. The pendulum can rotate about point P, the end of the rod. The moments of inertia of a rod about its end and a disk about its center are Irod ml² and /disk mr2. (a) What is the moment of inertia of the entire pendulum about point P? M L= 3R 2M (b) What is the position of the pendulum's center of mass with respect to P? R (c) The pendulum undergoes small amplitude oscillations. What is the period of oscillation?
A pendulum of a Grandfather clock consists of a disk of mass 2M and radius R fixed to the end of a rod of mass M and length L = 3R. The pendulum can rotate about point P, the end of the rod. The moments of inertia of a rod about its end and a disk about its center are Irod ml² and /disk mr2. (a) What is the moment of inertia of the entire pendulum about point P? M L= 3R 2M (b) What is the position of the pendulum's center of mass with respect to P? R (c) The pendulum undergoes small amplitude oscillations. What is the period of oscillation?
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Transcribed Image Text:A pendulum of a Grandfather clock consists of a disk of mass 2M and radius R fixed
to the end of a rod of mass M and length L = 3R. The pendulum can rotate about
point P, the end of the rod. The moments of inertia of a rod about its end and a
disk about its center are Irod
ml² and /disk
mr2.
(a) What is the moment of inertia of the entire pendulum about point P?
M
L= 3R
2M
(b) What is the position of the pendulum's center of mass with respect to P?
R
(c) The pendulum undergoes small amplitude oscillations. What is the period of
oscillation?
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