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Microsoft_PowerPoint___M10and11intro

# Microsoft_PowerPoint___M10and11intro - M10/11(PHY 158...

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M10/11 (PHY 158) Rotational Dynamics I, II In this lab you will accomplish the following tasks: 1. Become acquainted with the PASCO rotational dynamics apparatus and the use of the dedicated Apple computer for data acquisition and display 2. Measure the frictional damping of a spinning disc made of steel 3. Verify the equation: (page 1) net T I α =

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ω R M Consider a spinning cylinder of mass M and radius R moving under the influence of two torques. A constant torque exerted by the asymmetric flow of air (turbine effect), and a frictional torque equa T net 2 l to -C . The net torque on the cylinder is: , where I is the rotational inertia of the cylinder. . The equation of motion of the cylinder is: 2 d T T C I dt MR I d I T C dt ω ω ω ω ω = = = = (page 2)
ω R M ω ω o ω t ( ) o / Equation of motion: The solution of the above equation is: Here , is the angular velocity at t 0, and is the angular velocity at t A plot of the solution t o d I T C dt I C e τ ω ω ω ω ω ω τ ω ω = + = ∞ = = = is given in the fig.b above.

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