Ch 17 Notes Part 2 17 4 Rotation

Ch 17 Notes – Part 2 17. 4 Rotation About a Fixed Axis • When a body rotates about O, the mass center G moves on a circular path • Therefore we can best use normal and tangential axes • (a. G)t = r. Gα • (a. G)n = 2 r. G Engineering Mechanics: Dynamics , Thirteenth Edition R. C. Hibbeler Copyright © 2013 by Pearson Education, Inc. All rights reserved.

Ch 17 Notes – Part 2 17. 4 Rotation About a Fixed Axis • Ft = m(a. G)t = mr. Gα • Fn = m(a. G)n = m 2 r. G • MG = IGα α • But, • Io = IG + mr. G 2 by the parallel axis theorem • So, Mo = Ioα Engineering Mechanics: Dynamics , Thirteenth Edition R. C. Hibbeler Copyright © 2013 by Pearson Education, Inc. All rights reserved.

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Ch 17 Notes – Part 2 17. 5 General Plane Motion • Fx = m(a. G)x = mr. Gα • Fy = m(a. G)y • MG = IGα α Engineering Mechanics: Dynamics , Thirteenth Edition R. C. Hibbeler Copyright © 2013 by Pearson Education, Inc. All rights reserved.

Ch 17 Notes – Part 2 17. 5 General Plane Motion • Or, considering a point P, other than G: • Fx = m(a. G)x • Fy = m(a. G)y • MP = (MP), where (MP) = Iα + ma. G (or its components) about P α Engineering Mechanics: Dynamics , Thirteenth Edition R. C. Hibbeler Copyright © 2013 by Pearson Education, Inc. All rights reserved.

Ch 17 Notes – Part 2 17. 5 General Plane Motion • If you have a uniform disk of circular shape that rolls on a rough surface without slipping, (Mk)IC becomes IICα by the PAT, so MIC = IICα α Engineering Mechanics: Dynamics , Thirteenth Edition R. C. Hibbeler Copyright © 2013 by Pearson Education, Inc. All rights reserved.

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