A compound pendulum pivoted at O consists of a hollow-disk of radius R= 40 + 2xds cm with a hole of radius 20 cm and a thin rod (1.2 kg, total length = 80 cm) attached on the top. Given the mass density of the hollow disk is 4 kg/m. 60 cm 20 cm 30 cm 40 cm R = 40 + 2xds cm (a) Find the rotational inertia I of the compound pendulum at an axis passing through the plane of paper and the pivot O. (b) Find the distance hem of the center of mass of the compound pendulum from pivot O. (c) Find the angular frequency e. (d) Find the period T.
A compound pendulum pivoted at O consists of a hollow-disk of radius R= 40 + 2xds cm with a hole of radius 20 cm and a thin rod (1.2 kg, total length = 80 cm) attached on the top. Given the mass density of the hollow disk is 4 kg/m. 60 cm 20 cm 30 cm 40 cm R = 40 + 2xds cm (a) Find the rotational inertia I of the compound pendulum at an axis passing through the plane of paper and the pivot O. (b) Find the distance hem of the center of mass of the compound pendulum from pivot O. (c) Find the angular frequency e. (d) Find the period T.
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Transcribed Image Text:A compound pendulum pivoted at O consists of a hollow-disk of radius R= 40 + 2xds cm with a
hole of radius 20 cm and a thin rod (1.2 kg, total length = 80 cm) attached on the top. Given the mass
density of the hollow disk is 4 kg/m.
60 cm
20 cm
30 cm
40 cm
R = 40 + 2xds cm
(a) Find the rotational inertia I of the compound pendulum at an axis passing through the plane of
paper and the pivot O.
(b) Find the distance hem of the center of mass of the compound pendulum from pivot O.
(c) Find the angular frequency e.
(d) Find the period T.
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