Figure 10.16 A particle rotating in a circle under the influence of a tangential force Ft. A force Fr in the radial direction also must be present to maintain the circular motion. Fig. 10.16, p.308
Figure 10.1 A compact disc rotating about a fixed axis through O perpendicular to the plane of the figure. (a) In order to define angular position for the disc, a fixed reference line is chosen. A particle at P is located at a distance r from the rotation axis at O. (b) As the disc rotates, point P moves through an arc length s on a circular path of radius r. Fig. 10.1, p.293
Figure 10.3 The right-hand rule for determining the direction of the angular velocity vector. Fig. 10.3, p.295
Figure 10.2 A particle on a rotating rigid object moves from A to B along the arc of a circle. In the time interval t = tf – ti, the radius vector sweeps out an angle = f – i. Fig. 10.2, p.294
Figure 10.13 The force F has a greater rotating tendency about O as F increases and as the moment arm d increases. The component F sin tends to rotate the wrench about O. Fig. 10.13, p.306
Figure 10.13 The force F has a greater rotating tendency about O as F increases and as the moment arm d increases. The component F sin tends to rotate the wrench about O.
Figure 10.13 The force F has a greater rotating tendency about O as F increases and as the moment arm d increases. The component F sin tends to rotate the wrench about O.
Figure 10.13 The force F has a greater rotating tendency about O as F increases and as the moment arm d increases. The component F sin tends to rotate the wrench about O.
2-spot strength ------------------ 3-spot strength 1 (=100%) 3/4 2/3 1/2 1/3 Figure 10.13 The force F has a greater rotating tendency about O as F increases and as the moment arm d increases. The component F sin tends to rotate the wrench about O.
Fig. P10.14, p.323
Table 10.1, p.297
Table 10.2 (a) Hoop or thin cylindrical shell Table 10.2a, p.304
Table 10.2 (b) Hollow cylinder Table 10.2b, p.304
Table 10.2 (c) Solid cylinder or disk Table 10.2c, p.304
Table 10.2 (d) Rectangular plate Table 10.2d, p.304
Table 10.2 (e) Long thin rod with rotation axis through center Table 10.2e, p.304
Table 10.2 (f) Long thin rod with rotation axis through end Table 10.2f, p.304
Table 10.2 (g) Solid sphere Table 10.2g, p.304
Table 10.2 (h) Thin spherical shell Table 10.2h, p.304
Figure 10.11 Calculating I about the z axis for a uniform solid cylinder. Fig. 10.11, p.303
Table 10.2 Moments of Inertia of Homogeneous Rigid Objects with Different Geometries Table 10.2, p.304
Table 10.3, p.314
Figure 10.12 (a) The parallel-axis theorem: if the moment of inertia about an axis perpendicular to the figure through the center of mass is ICM, then the moment of inertia about the z axis is Iz = ICM + MD2. (b) Perspective drawing showing the z axis (the axis of rotation) and the parallel axis through the CM. Fig. 10.12, p.305
Active Figure 10.4 As a rigid object rotates about the fixed axis through O, the point P has a tangential velocity v that is always tangent to the circular path of radius r. At the Active Figures link at http://www.pse6.com, you can move point P and see the change in the tangential velocity. Fig. 10.4, p.298
Figure 10.5 As a rigid object rotates about a fixed axis through O, the point P experiences a tangential component of linear acceleration at and a radial component of linear acceleration ar. The total linear acceleration of this point is a = at + ar. Fig. 10.5, p.298
Figure 10. 15 A solid cylinder pivoted about the z axis through O Figure 10.15 A solid cylinder pivoted about the z axis through O. The moment arm of T1 is R1, and the moment arm of T2 is R2. Fig. 10.15, p.307
Figure 10.20 An object hangs from a cord wrapped around a wheel. Fig. 10.20, p.310
Figure 10. 21 (a) Another look at Atwood’s machine Figure 10.21 (a) Another look at Atwood’s machine. (b) Free-body diagrams for the blocks. (c) Free-body diagrams for the pulleys, where mpg represents the gravitational force acting on each pulley. Fig. 10.21, p.310
Figure 10.21 (a) Another look at Atwood’s machine. Fig. 10.21a, p.310
Figure 10.21 (b) Free-body diagrams for the blocks. Fig. 10.21b, p.310
Figure 10.21 (c) Free-body diagrams for the pulleys, where mpg represents the gravitational force acting on each pulley. Fig. 10.21c, p.310
Figure 10.25 An Atwood machine. Fig. 10.25, p.315
Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig. 10.29a, p.318
Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig. 10.29b, p.318
Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig. 10.29c, p.318
Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig. 10.29c, p.318
Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig. 10.29c, p.318
Active Figure 10. 30 A sphere rolling down an incline Active Figure 10.30 A sphere rolling down an incline. Mechanical energy of the sphere-incline-Earth system is conserved if no slipping occurs. At the Active Figures link at http://www.pse6.com, you can roll several objects down the hill and see the effect on the final speed. Fig. 10.30, p.318
Figure Q10.24 Which object wins the race? Fig. Q10.24, p.322
Figure 11.2 The vector product A B is a third vector C having a magnitude AB sin equal to the area of the parallelogram shown. The direction of C is perpendicular to the plane formed by A and B, and this direction is determined by the right-hand rule. Fig. 11.2, p.338
Figure 11.12 The wheel is initially spinning when the student is at rest. What happens when the wheel is inverted? Fig. 11.12, p.348
Fig. P11.30, p.357
Fig. P10.31, p.326
Fig. P10.37, p.326
Fig. P10.46, p.328
Fig. P10.47, p.328
Fig. P10.67, p.330
Fig. P10.71, p.331
Fig. P10.72, p.331
Fig. P10.89, p.334
Fig. P10.20, p.324
Fig. P10.21, p.324
Fig. P10.22, p.324