Page 31 - Dynamics of Mechanical Systems

0593_C01_fm Page 12 Monday, May 6, 2002 1:43 PM

12 Dynamics of Mechanical Systems

1.5. Hsu, H. P., Vector Analysis, Simon & Schuster Technical Outlines, New York, 1969.
1.6. Brand, L., Vector and Tensor Analysis, Wiley, New York, 1964.
1.7. Kane, T. R., Analytical Elements of Mechanics, Vol. 2, Academic Press, New York, 1961.
1.8. Kane, T. R., and Levinson, D. A., Dynamics: Theory and Applications, McGraw-Hill, New York,
1985, pp. 361–371.
1.9. Likins, P. W., Elements of Engineering Mechanics, McGraw-Hill, New York, 1973.
1.10. Beer, F. P., and Johnston, E. R., Jr., Vector Mechanics for Engineers, 6th ed., McGraw-Hill, New
York, 1996.
1.11. Yeh, H., and Abrams, J. I., Principles of Mechanics of Solids and Fluids, Vol. 1, Particle and Rigid-
Body Mechanics, McGraw-Hill, New York, 1960.
1.12. Haug, E. J., Intermediate Dynamics, Prentice Hall, Englewood Cliffs, NJ, 1992.
1.13. Meriam, J. L., and Kraige, L. G., Engineering Mechanics, Vol. 2, Dynamics, 3rd ed., John Wiley
& Sons, New York, 1992.
1.14. Hibbler, R. C., Engineering Mechanics: Statics and Dynamics, Macmillan, New York, 1974.
1.15. Shelley, J. P., Vector Mechanics for Engineers, Vol. II, Dynamics, Schaum’s Solved Problems Series,
McGraw-Hill, New York, 1991.
1.16. Jong, I. C., and Rogers, B. G., Engineering Mechanics, Statics and Dynamics, Saunders College
Publishing, Holt, Rinehart & Winston, Philadelphia, PA, 1991.
1.17. Huston, R. L., Multibody Dynamics, Butterworth–Heinemann, Stoneham, MA, 1990.
1.18. Higdon, A., and Stiles, W. B., Engineering Mechanics, Vol. II, Dynamics, 3rd ed., Prentice Hall,
Englewood Cliffs, NJ, 1968.
1.19. Meirovitch, L., Methods of Analytical Dynamics, McGraw-Hill, New York, 1970.
1.20. Paul, B., Kinematics and Dynamics of Planar Machinery, Prentice Hall, Englewood Cliffs, NJ, 1979.
1.21. Sneck, H. J., Machine Dynamics, Prentice Hall, Englewood Cliffs, NJ, 1991.
1.22. Mabie, H. H., and Reinholtz, C. F., Mechanisms and Dynamics of Machinery, 4th ed., Wiley, New
York, 1987.
1.23. Ginsberg, J. H., Advanced Engineering Dynamics, Harper & Row, New York, 1988.
1.24. Shames, I. H., Engineering Mechanics, Prentice Hall, Englewood Cliffs, NJ, 1980.
1.25. Liu, C. Q., and Huston, R. L., Formulas for Dynamic Analyses, Marcel Dekker, New York, 1999.

Problems

Section 1.5 Vector Review
P1.5.1: Suppose a velocity vector V is expressed in the form:

V = 3 i + 4 j+ 12 ft sec
k

where i, j, and k are mutually perpendicular unit vectors.

a. Determine the magnitude of V.
b. Find a unit vector n parallel to V and having the same sense as V.

Section 1.6 Reference Frames and Coordinate Systems
P1.6.1: Suppose the Cartesian coordinates (x, y, z) of a point P are (3, 1, 4).

a. Find the cylindrical coordinates (r, θ, z) of P.
b. Find the spherical coordinates (ρ, φ, θ) of P.