EGR 280 Mechanics Problem Set 1

EGR 280 Mechanics Problem Set 1

<p>EGR 280 – Mechanics Problem Set 15 Graphics and problem statements © 2004 R.C. Hibbeler. Published by Pearson Education, Inc., Upper Saddle River, NJ. </p><p>15.1 The assembly consists of a disk having a mass of 6 kg and slender rods AB and DC which have a mass of 2 kg/m. If L = 0.75 m, determine the moment of inertia about an axis perpendicular to the page and passing through O.</p><p>2 Ans: IO = 6.99 kg-m</p><p>15.2 The wheel consists of a thin ring having a mass of 10 kg and four spokes made from slender rods and each having a mass of 2 kg. Determine the wheel’s moment of inertia about an axis perpendicular to the page and passing through point A.</p><p>2 Ans: IA = 7.67 kg-m</p><p>15.3 The slender rods have a weight of 3 lb/ft. Determine the moment of inertia of the assembly about an axis perpendicular to the page and passing through the pin at A.</p><p>2 2 Ans: IA = 2.17 (lb-s /ft) -ft</p><p>15.4 The pendulum consists of a plate having a weight of 12 lb and a slender rod having a weight of 4 lb. Determine the radius of gyration of the pendulum about an axis perpendicular to the page and passing through point O.</p><p>Ans: kO = 3.15 ft 15.5 Determine the moment of inertia about an axis perpendicular to the plate and passing through the pin at O. The thin plate has a hole in its center. Its thickness is 50 mm, and the material has a density ρ = 50 kg/m3.</p><p>2 Ans: IO = 6.23 kg-m</p>

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