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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.

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Presentation on theme: "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."— Presentation transcript:

1 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 , p.308

2 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

3 Figure 10.3  The right-hand rule for determining the direction of the angular velocity vector.
Fig. 10.3, p.295

4 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

5 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 , p.306

6 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.

7 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.

8 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.

9 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.

10 Fig. P10.14, p.323

11 Table 10.1, p.297

12 Table 10.2 (a) Hoop or thin cylindrical shell
Table 10.2a, p.304

13 Table 10.2 (b) Hollow cylinder
Table 10.2b, p.304

14 Table 10.2 (c) Solid cylinder or disk
Table 10.2c, p.304

15 Table 10.2 (d) Rectangular plate
Table 10.2d, p.304

16 Table 10.2 (e) Long thin rod with rotation axis through center
Table 10.2e, p.304

17 Table 10.2 (f) Long thin rod with rotation axis through end
Table 10.2f, p.304

18 Table (g) Solid sphere Table 10.2g, p.304

19 Table 10.2 (h) Thin spherical shell
Table 10.2h, p.304

20 Figure 10.11  Calculating I about the z axis for a uniform solid cylinder.
Fig , p.303

21 Table 10.2 Moments of Inertia of Homogeneous Rigid Objects with Different Geometries
Table 10.2, p.304

22 Table 10.3, p.314

23 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 , p.305

24 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 you can move point P and see the change in the tangential velocity. Fig. 10.4, p.298

25 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

26 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 , p.307

27 Figure 10.20 An object hangs from a cord wrapped around a wheel.
Fig , p.310

28 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 , p.310

29 Figure 10.21  (a) Another look at Atwood’s machine.
Fig a, p.310

30 Figure 10.21   (b) Free-body diagrams for the blocks.
Fig b, p.310

31 Figure 10.21  (c) Free-body diagrams for the pulleys, where mpg represents the gravitational force acting on each pulley. Fig c, p.310

32 Figure 10.25  An Atwood machine.
Fig , p.315

33 Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig a, p.318

34 Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig b, p.318

35 Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig c, p.318

36 Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig c, p.318

37 Figure 10.29 The motion of a rolling object can be modeled as a combination of pure translation and pure rotation. Fig c, p.318

38 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 you can roll several objects down the hill and see the effect on the final speed. Fig , p.318

39 Figure Q10.24 Which object wins the race?
Fig. Q10.24, p.322

40 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

41 Figure 11.12  The wheel is initially spinning when the student is at rest. What happens when the wheel is inverted? Fig , p.348

42 Fig. P11.30, p.357

43 Fig. P10.31, p.326

44 Fig. P10.37, p.326

45 Fig. P10.46, p.328

46 Fig. P10.47, p.328

47 Fig. P10.67, p.330

48 Fig. P10.71, p.331

49 Fig. P10.72, p.331

50 Fig. P10.89, p.334

51 Fig. P10.20, p.324

52 Fig. P10.21, p.324

53 Fig. P10.22, p.324


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