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# Physics II Lab w answers_Part_7 - Theory The equation of...

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25 T min =2 π g k 2 , so, g =……. From the plot of T 2 d vs. d 2 , find the slope and intercept from linear regression. From the Slope (4 π 2 /g) , g can be calculated and from the intercept [(4 π 2 /g)k 2 ], k can be calculated. k can be calculated using the formula 2 / 1 2 2 12 ° ° ± ² ³ ³ ´ µ + b l and compared with the value derived from the graph. Why are the two k values different? Results: ‘g’ value from T vs. d plot is …… ‘g’ value from T 2 d vs. d 2 plot is ……. Average value of ‘g’ = ….. (Two graph papers required). References: 1. Haliday, Resnick and Walker, “Fundamentals of Physics”, 6 th Ed. (John Wiley, Singapore, 2001), Chap. 16.

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26 Experiment No. 4 Rotational Inertia of a Rigid Body Apparatus Torsional pendulum, support for hanging the pendulum, regular circular body, irregular body, stop clock. Objective: To measure the rotational inertia of an object by dynamic method.
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Unformatted text preview: Theory The equation of motion for small undamped rotational oscillations is 2 2 = + θ 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 π = (2) Equation (1) represents a simple harmonic motion with angular frequency ω 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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