Concept explainers
If you toss a textbook into the air, rotating it each time about one of the three axes perpendicular to it, you will find that it will not rotate smoothly about one of those axes. (Try placing a strong rubber band around the book before the toss so that it will stay closed.) The book’s rotation is stable about those axes having the largest and smallest moments of inertia, but unstable about the axis of intermediate moment. Try this on your own to find the axis that has this intermediate moment of inertia.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
COLLEGE PHYSICS,V.1-W/ENH.WEBASSIGN
Additional Science Textbook Solutions
Physical Science
Integrated Science
Conceptual Physical Science (6th Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
- A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?arrow_forwardWhat is the value of the angular acceleration of the second hand of the clock on the wall?arrow_forwardWhich of the entries in Table 10.2 applies to finding the moment of inertia (a) of a long, straight sewer pipe rotating about its axis of symmetry? (b) Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (c) Of a uniform door turning on its hinges? (d) Of a coin turning about an axis through its center and perpendicular to its faces?arrow_forward
- 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.arrow_forwardWhat if another planet the same size as Earth were put into orbit around the Sun along with Earth. Would the moment of inertia of the system increase, decrease, or stay the same?arrow_forwardFor a particle traveling in a straight line, are there any points about which the angular momentum is zero? Assume the line intersects the origin.arrow_forward
- A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56). When his arms are extended horizontally (Fig. P10.56a), the dumbbells are 1.00 m from the axis of rotation and the student rotates with an angular speed of 0.750 rad/s. The moment of inertia of the student plus stool is 3.00 kg m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.300 m from the rotation axis (Fig. P10.56b). (a) Find the new angular speed of the student. (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Figure P10.56arrow_forwardConsider the system shown below where four point masses are connected to each other by massless rods. Two of the masses are ?=9kgm=9kg and the other two have the masses of ?=6kgM=6kg. If ?=1.4ma=1.4m, ?=0.5mb=0.5m and the system rotates about ?−z−axis, determine the moment of inertia of the system. Express your answer in units of kg⋅m2kg⋅m2 using one decimal place.arrow_forwardFour small spheres, each of which you can regard as a point of mass 0.400 kg, are arranged in a square 0.700 m on a side and connected by extremely light rods. Find the moment of inertia of the system about an axis (a) through the center of the square, perpendicular to its plane (an axis through point O in the figure); (b) bisecting two opposite sides of the square (an axis along the line AB in the figure); (c) that passes through the centers of the upper left and lower right spheres and through point O. (Note: Change the value in the figure)arrow_forward
- Mathematically find the formulae for the moment of inertia of all these things?arrow_forwardFour small spheres, each of which you can regard as a point of mass 0.200 kgkg, are arranged in a square 0.400 mm on a side and connected by light rods. Find the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane. Find the moment of inertia of the system about an axis bisecting two opposite sides of the square. Find the moment of inertia of the system about an axis that passes through the centers of the upper left and lower right spheres and through point O.arrow_forwardThree point objects with masses ?1=2.6 kg, ?2=4.0 kg,and ?3=0.90 kg are arranged in the configuration shown in the figure. The distance to mass ?1 is ?1=25 cm and the distance to mass ?3 is ?3=41 cm. The distances are measured from the axis ?. What is the combined moment of inertia ? for the three point objects about the axis ? ?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill