Question

2. + -16 points The Pendulum Ring A 14 g circular annulus of outer radius 40 cm and inner radius 27.6 cm makes small oscillations on an axle through its outer edge perpendicular to its face. (a) Find its frequency of oscillation. (b) Find the frequency of oscillation of a thin ring of the same outer radius and mass. (c) Find the frequency of oscillation of a solid disc of the same outer radius, thickness, and density.

A 14 g circular annulus of outer radius 40 cm and inner radius 27.6 cm makes small oscillations on an axle through its outer edge perpendicular to its face.

(a) Find its frequency of oscillation.


(b) Find the frequency of oscillation of a thin ring of the same outer radius and mass.


(c) Find the frequency of oscillation of a solid disc of the same outer radius, thickness, and density.

Answer 1

ar from figure Z= mab sing 1. mgsing it ng b sind It = mg busine to my ising god small value of a 1. Where *5 kg mgbe sindro Hud I I= moment of inertia з аnnular wine = Ź m (4+6-3° mgb er How put value & I in epr liv [ W = 5.764 e angulas Jonquency med garante then = - 317 42 ]Jang b) since we know that moment of mestia of ring = amb hence by using equip and we know that angulas five 27 3:14 [J = 8:788 42 km

6.7 Since we know that moment of inestra of dise = 1m6² hence by using egh ID of (a) was my be there the VI - home W = Fretle Angulas frequency and we know that do evento - 93019 = 14 HZ] Hong L 273:14