me375_sp11_hwk02

# me375_sp11_hwk02 - ME 375 – Spring 2011 Homework No 2 Due...

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Unformatted text preview: ME 375 – Spring 2011 Homework No. 2 Due: Friday, January 28 Problem No. 1 (30%) Gears 1 and 2 (having masses of m and 2m, respectively) mesh at their common contact point C (no slip). Flexible shafts having torsional stiffnesses of 2K and K connect gears 1 and 2, respectively, to ground. The mass of these shafts is negligible. A torque T acts on gear 2 as shown below. Let θ represent the rotation of gear 2. Treat gears 1 and 2 as homogeneous rigid disks with radii of r and 2r, respectively. Derive the equation of motion (EOM) for this single-degree-of-freedom system in terms of the output rotation θ and input T . Based on your EOM, what is the effective mass moment of inertia and the effective rotational stiffness for this system? You need to provide complete free body diagrams in the derivation of your EOM. C gear 1 gear 2 2 r r 2 m m T θ gear 1 C gear 2 K 2 K T θ END VIEW Problem No. 2 Part A) – 15% Consider System I shown below made up of six springs, two massless connectors A and...
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me375_sp11_hwk02 - ME 375 – Spring 2011 Homework No 2 Due...

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