Three disks A, B, and C with same radius 5.0 cm are placed at coordinate (0,50 cm), (-15 cm, 0), and (15 cm, 0), respectively as shown as Figure 1. The masses of the three disks are m, = 0.2 kg, mg = mc = 0.4 kg. They are connected by thin rods which has negligible masses. Find A(0, 50) ma = 0.2 B(-15,0) C(15, 0) тв — 0.4 mc = 0.4 Figure 1 (a) the coordinate of the centre of mass of the system. (b) the rotational inertia about the axis perpendicular to the plane and passing through the centre of disk A.

Three disks A, B, and C with same radius 5.0 cm are placed at coordinate (0,50 cm), (-15 cm, 0), and (15 cm, 0), respectively as shown as Figure 1. The masses of the three disks are m, = 0.2 kg, mg = mc = 0.4 kg. They are connected by thin rods which has negligible masses. Find A(0, 50) ma = 0.2 B(-15,0) C(15, 0) тв — 0.4 mc = 0.4 Figure 1 (a) the coordinate of the centre of mass of the system. (b) the rotational inertia about the axis perpendicular to the plane and passing through the centre of disk A.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 45PQ: A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an...

See similar textbooks

Similar questions

KEY TERMS 1. force (3.1) 2. unbalanced, or net, force(3.7) 3. Newtons first law of motion (3.2) 4. inertia 5. mass 6. Newtons second law of motion (3.3) 7. newton 8. Weight 9. friction 10. Newtons third law of motion (3.4) 11. Newtons law of universal gravitation (3.5) 12. G 13. buoyant force (3.6) 14. Archimedes principle 15. linear momentum (3.7) 16. law of conservation of linear momentum 17. angular momentum 18. torque 19. law of conservation of angular momentum For each of the following items, fill in the number of the appropriate Key Term from the preceding list. a. _____ Gives the magnitude of the buoyant force
KEY TERMS 1. force (3.1) 2. unbalanced, or net, force(3.7) 3. Newtons first law of motion (3.2) 4. inertia 5. mass 6. Newtons second law of motion (3.3) 7. newton 8. Weight 9. friction 10. Newtons third law of motion (3.4) 11. Newtons law of universal gravitation (3.5) 12. G 13. buoyant force (3.6) 14. Archimedes principle 15. linear momentum (3.7) 16. law of conservation of linear momentum 17. angular momentum 18. torque 19. law of conservation of angular momentum For each of the following items, fill in the number of the appropriate Key Term from the preceding list. b. _____ A measure of inertia
KEY TERMS 1. force (3.1) 2. unbalanced, or net, force(3.7) 3. Newtons first law of motion (3.2) 4. inertia 5. mass 6. Newtons second law of motion (3.3) 7. newton 8. Weight 9. friction 10. Newtons third law of motion (3.4) 11. Newtons law of universal gravitation (3.5) 12. G 13. buoyant force (3.6) 14. Archimedes principle 15. linear momentum (3.7) 16. law of conservation of linear momentum 17. angular momentum 18. torque 19. law of conservation of angular momentum For each of the following items, fill in the number of the appropriate Key Term from the preceding list. n. _____ Tendency of an object to remain at rest or in uniform, straight-line motion
KEY TERMS 1. force (3.1) 2. unbalanced, or net, force(3.7) 3. Newtons first law of motion (3.2) 4. inertia 5. mass 6. Newtons second law of motion (3.3) 7. newton 8. Weight 9. friction 10. Newtons third law of motion (3.4) 11. Newtons law of universal gravitation (3.5) 12. G 13. buoyant force (3.6) 14. Archimedes principle 15. linear momentum (3.7) 16. law of conservation of linear momentum 17. angular momentum 18. torque 19. law of conservation of angular momentum For each of the following items, fill in the number of the appropriate Key Term from the preceding list. e. _____ A nonzero vector sum of forces
KEY TERMS 1. force (3.1) 2. unbalanced, or net, force(3.7) 3. Newtons first law of motion (3.2) 4. inertia 5. mass 6. Newtons second law of motion (3.3) 7. newton 8. Weight 9. friction 10. Newtons third law of motion (3.4) 11. Newtons law of universal gravitation (3.5) 12. G 13. buoyant force (3.6) 14. Archimedes principle 15. linear momentum (3.7) 16. law of conservation of linear momentum 17. angular momentum 18. torque 19. law of conservation of angular momentum For each of the following items, fill in the number of the appropriate Key Term from the preceding list. r._____ Changes angular momentum
KEY TERMS 1. force (3.1) 2. unbalanced, or net, force(3.7) 3. Newtons first law of motion (3.2) 4. inertia 5. mass 6. Newtons second law of motion (3.3) 7. newton 8. Weight 9. friction 10. Newtons third law of motion (3.4) 11. Newtons law of universal gravitation (3.5) 12. G 13. buoyant force (3.6) 14. Archimedes principle 15. linear momentum (3.7) 16. law of conservation of linear momentum 17. angular momentum 18. torque 19. law of conservation of angular momentum For each of the following items, fill in the number of the appropriate Key Term from the preceding list. d. _____ Occurs in the absence of an unbalanced force
KEY TERMS 1. force (3.1) 2. unbalanced, or net, force(3.7) 3. Newtons first law of motion (3.2) 4. inertia 5. mass 6. Newtons second law of motion (3.3) 7. newton 8. Weight 9. friction 10. Newtons third law of motion (3.4) 11. Newtons law of universal gravitation (3.5) 12. G 13. buoyant force (3.6) 14. Archimedes principle 15. linear momentum (3.7) 16. law of conservation of linear momentum 17. angular momentum 18. torque 19. law of conservation of angular momentum For each of the following items, fill in the number of the appropriate Key Term from the preceding list. o. _____ mvr
KEY TERMS 1. force (3.1) 2. unbalanced, or net, force(3.7) 3. Newtons first law of motion (3.2) 4. inertia 5. mass 6. Newtons second law of motion (3.3) 7. newton 8. Weight 9. friction 10. Newtons third law of motion (3.4) 11. Newtons law of universal gravitation (3.5) 12. G 13. buoyant force (3.6) 14. Archimedes principle 15. linear momentum (3.7) 16. law of conservation of linear momentum 17. angular momentum 18. torque 19. law of conservation of angular momentum For each of the following items, fill in the number of the appropriate Key Term from the preceding list. c. _____ Describes the force of gravity
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.
A bird flies overhead from where you stand at an altitude of 300.0 m and at a speed horizontal to the ground of 20.0 m/s. The bird has a mass of 2.0 kg. The radius vector to the bird makes an angle with respect to the ground. The radius vector to the bird and its momentum vector lie in the xy-plane. What is the bird’s angular momentum about the point where you are standing?
A mallet consists of a uniform cylindrical head of mass 2.60 kg and a diameter 0.0800 m mounted on a uniform cylindrical handle of mass 0.400 kg and length 0.240 m, as shown in the figure.(figure 1). If this mallet is tossed, spinning, into the air, how far above the bottom of the handle is the point that will follow a parabolic trajectory?
We have a non-rotating space station in the shape of a long thin uniform rod of mass 2.60 x 10^6 kg and length 769 meters. Small probes of mass 8303 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 2888 m/s with respect to the launch points, which are each located 196 m from the center of the rod. After 11 pairs of probes have launched, how fast will the station be spinning? 3.70 rpm 7.71 rpm 4.63 rpm 10.02 rpm