Section 13.6 Equations of Motion: Cylindrical Coordinates ANGLE W BETWEEN TANGENTIAL AND RADIAL UNIT VECTORS (page 1) r = f (0) Tangent 4 r 0 < (b) fig13_17b.jpg Copyright @ 2010 Pearson Prentice Hall, Inc.
Section 13.6 Equations of Motion: Cylindrical Coordinates ANGLE W BETWEEN TANGENTIAL AND RADIAL UNIT VECTORS (page 2) . Definition of y · Equations for tan y · Derivations tr ? ·? = cos? 00 0 0180° tan/ = r (1) r tan/ = r (2) dr/d / The velocity v of a particle in planar motion is v = vu,. From Figure 13-17 (b), v = v(cosl ? + sin/ u ) From Chapter 12 (Week 7) Extra Notes, V = nu + NU Eq. (1) follows from equating components in these two equations. Eq. (2) follows from Eq. (1).