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Unformatted text preview: Theory The equation of motion for small undamped rotational oscillations is 2 2 = + C dt d I (1) Where I is the rotational inertia of the body about the chosen axis, & is the angular displacement and C is the restoring (controlling) torque per unit angular displacement. This controlling torque is provided by the elastic rigidity of the wire with which the rigid body is suspended. For a wire of radius r , length l and rigidity modulus G , l r G C 2 4 = (2) Equation (1) represents a simple harmonic motion with angular frequency given by I C = And time period of oscillations C I T 2 = (3) In this experiment the time period ( T O ) of the bare oscillating system is measured first and then with a regular body added to it. Since the rational inertia of regular body can be calculated from its dimensions and...
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This note was uploaded on 11/26/2011 for the course PHY 2053 taught by Professor Lind during the Fall '09 term at FSU.
- Fall '09