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A uniform rectangular flat plate has mass M and dimensions a by b. Use the parallel-axis theorem in conjunction with Table 10.2 to show that its rotational inertia about the side of length b is Ma.

A uniform rectangular flat plate has mass M and dimensions a by b. Use the parallel-axis theorem in conjunction with Table 10.2 to show that its rotational inertia about the side of length b is Ma.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A uniform rectangle flat plate has mass m and dimensions a by b. use the parallel-axis theorem in conjunction with Table 10.2 to show that it's rotational inertia about the side of length b is 0.3 ma2.

7.92 m from the ro- g astronauts. Treat which rotates about its a the final spe rtia when two 105-kg 792 m from the ro- 60. A ship's an negligible of mass 3 tg astronauts. Treat point (a) (b) (c) The anc nd seats as FIGURE 10.27 Problem 50 conside chor hi now treating the section of side cube with side 61. Starti 51. A thick ring has inner radius lR outer radius R, and mass M. Find an expression for its rotational inertia. (Hint: Consult Example 10.7.) ang! it's xis. 52/ A uniform rectangular flat plate has mass M and dimensions a by b. Use the parallel-axis theorem in conjunction with Table 10.2 to show that its rotational inertia about the side of length b is §Ma“. 53. The cellular motor driving the flagellum in E. coli (see Problem49) exerts a typical torque of 420 pN•nm on the flagellum. If this torque results from a force applied tangentially to the outside of the 15-nm-radius flagellum, what's the magnitude of that force? tarting from 62. Α n it reaches 63. when it's g height BIO 54. Verify by direct integration Table 10.2's entry for the rotational inertia of a flat plate about a central axis. (Hint: Divide the plate and ro- Own a s the
Transcribed Image Text:7.92 m from the ro- g astronauts. Treat which rotates about its a the final spe rtia when two 105-kg 792 m from the ro- 60. A ship's an negligible of mass 3 tg astronauts. Treat point (a) (b) (c) The anc nd seats as FIGURE 10.27 Problem 50 conside chor hi now treating the section of side cube with side 61. Starti 51. A thick ring has inner radius lR outer radius R, and mass M. Find an expression for its rotational inertia. (Hint: Consult Example 10.7.) ang! it's xis. 52/ A uniform rectangular flat plate has mass M and dimensions a by b. Use the parallel-axis theorem in conjunction with Table 10.2 to show that its rotational inertia about the side of length b is §Ma“. 53. The cellular motor driving the flagellum in E. coli (see Problem49) exerts a typical torque of 420 pN•nm on the flagellum. If this torque results from a force applied tangentially to the outside of the 15-nm-radius flagellum, what's the magnitude of that force? tarting from 62. Α n it reaches 63. when it's g height BIO 54. Verify by direct integration Table 10.2's entry for the rotational inertia of a flat plate about a central axis. (Hint: Divide the plate and ro- Own a s the
ut its If the potter's foot pushes at the outer edge of wheel with a 60-N force for one-eighth of a D 105-kg he ro- the final speed? 60. A ship's anchor weighs 5.0kN. Its cable negligible mass and is wound around a of mass 380 kg and radius 1.1 m, mou The anchor is released and drops 16 considerations to determine the drum chor hits the water. Neglect the cab 61. Starting from rest, a hollow ball angle 0 to the horizontal. Find it's gone a distance d along the 62. A hollow ball rolls along a ho encounters an upward inclin incline, what maximum heig 63. As an automotive enginee fuel economy of your co rotational kinetic energy Treat (a) point (b) (c) FIGURE 10.27 Problem 50 the ide 51. A thick ring has inner radius !R. outer radius R, and mass M. de Find an expression for its rotational inertia. (Hint: Consult Example 10.7.) 52, A uniform rectangular flat plate has mass M and dimensions a by D. Use the parallel-axis theorem in conjunction with Table 10.2 to show that its rotational inertia about the side of length b is §Mª´ . 53. The cellular motor driving the flagellum in E. coli (see Problem 49) exerts a typical torque of 420 pN •nm on the flagellum. If this torque results from a force applied tangentially to the outside of the 15-nm-radius flagellum, what's the magnitude of that force? 54. Verify by direct integration Table 10.2's entry for the rotational inertia of a flat plate about a central axis. (Hint: Divide the plate ctrins narallel to the axis.) BIO in fuel consumption, an the wheels' rotational e energy. You propose a 20% lower rotation: nort for the decr 000 station, The
Transcribed Image Text:ut its If the potter's foot pushes at the outer edge of wheel with a 60-N force for one-eighth of a D 105-kg he ro- the final speed? 60. A ship's anchor weighs 5.0kN. Its cable negligible mass and is wound around a of mass 380 kg and radius 1.1 m, mou The anchor is released and drops 16 considerations to determine the drum chor hits the water. Neglect the cab 61. Starting from rest, a hollow ball angle 0 to the horizontal. Find it's gone a distance d along the 62. A hollow ball rolls along a ho encounters an upward inclin incline, what maximum heig 63. As an automotive enginee fuel economy of your co rotational kinetic energy Treat (a) point (b) (c) FIGURE 10.27 Problem 50 the ide 51. A thick ring has inner radius !R. outer radius R, and mass M. de Find an expression for its rotational inertia. (Hint: Consult Example 10.7.) 52, A uniform rectangular flat plate has mass M and dimensions a by D. Use the parallel-axis theorem in conjunction with Table 10.2 to show that its rotational inertia about the side of length b is §Mª´ . 53. The cellular motor driving the flagellum in E. coli (see Problem 49) exerts a typical torque of 420 pN •nm on the flagellum. If this torque results from a force applied tangentially to the outside of the 15-nm-radius flagellum, what's the magnitude of that force? 54. Verify by direct integration Table 10.2's entry for the rotational inertia of a flat plate about a central axis. (Hint: Divide the plate ctrins narallel to the axis.) BIO in fuel consumption, an the wheels' rotational e energy. You propose a 20% lower rotation: nort for the decr 000 station, The
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