Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 43, Problem 16P
To determine
To show that the moment of inertia about an axis through the center of mass of the molecule is given by
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The uniform beam has a mass of 44 kg per meter of length. Determine the reactions at the supports.
AD
Answers:
A, i
i
B₂
By= i
2.8 m-
z z z
1.2 m
350 kg
B
In a Maxwell's wheel experiment, the mass of the wheel is 450 gram, and the
radius of the spindle going through the center of the wheel is 3 mm. A student
lets the wheel fall 30 cm, and finds out that the speed of the center of mass is
0.15 m/s. What is the moment of inertia of this wheel? Take g=9.81 m/s^2.
2.0 kg.m^2
10 kg.m^2
O 1.0 g.cm^2
1.0x10*(-3) kg.m^2
O 1.0 kg.m^2
The oxygen molecule has a mass of 5.30 × 10'
-26 kg
and a moment of inertia of 1.94 × 10-46 kg m?
about an axis through its centre perpendicular to
the lines joining the two atoms. Suppose the mean
speed of such a molecule in a gas is 500 m/s and
that its kinetic energy of rotation is two-thirds of its
kinetic energy of translation. Find the average angular
velocity of the molecule.
Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 43.1 - For each of the following atoms or molecules,...Ch. 43.2 - Prob. 43.2QQCh. 43.2 - Prob. 43.3QQCh. 43 - Prob. 1OQCh. 43 - Prob. 2OQCh. 43 - Prob. 3OQCh. 43 - Prob. 4OQCh. 43 - Prob. 5OQCh. 43 - Prob. 6OQCh. 43 - Prob. 7OQ
Ch. 43 - Prob. 1CQCh. 43 - Prob. 2CQCh. 43 - Prob. 3CQCh. 43 - Prob. 4CQCh. 43 - Prob. 5CQCh. 43 - Prob. 6CQCh. 43 - Prob. 7CQCh. 43 - Prob. 8CQCh. 43 - Discuss models for the different types of bonds...Ch. 43 - Prob. 10CQCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - The nuclei of the O2 molecule are separated by a...Ch. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Prob. 25PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46PCh. 43 - Prob. 47PCh. 43 - Prob. 49PCh. 43 - Prob. 50PCh. 43 - Prob. 51PCh. 43 - A direct and relatively simple demonstration of...Ch. 43 - Prob. 53PCh. 43 - Prob. 54APCh. 43 - Prob. 55APCh. 43 - Prob. 56APCh. 43 - Prob. 57APCh. 43 - Prob. 58APCh. 43 - Prob. 59APCh. 43 - Prob. 61APCh. 43 - Prob. 62APCh. 43 - Prob. 63CPCh. 43 - As an alternative to Equation 43.1, another useful...
Knowledge Booster
Similar questions
- The uniform beam has a mass of 43 kg per meter of length. Determine the reactions at the supports. A Answers: Ay- Bx- By- i i 2.1 m Z Z Z N N N 1.3 m 230 kg BOarrow_forwardThe moment of inertia of a uniform-density disk rotating about an axle through its center can be shown to be- . This result is obtained by using integral calculus to add up the contributions of all the atoms in the disk. The factor of 1/2 reflects the fact that some of the atoms are near the center and some are far from the center; the factor of 1/2 is an average of the square distances. A uniform- density disk whose mass is 18 kg and radius is 0.12 m makes one complete rotation every 0.4 s.arrow_forwardOn a frictionless table, a 0.56 kg glob of clay strikes a uniform 1.26 kg bar perpendicularly at a point 0.35 m from the center of the bar and sticks to it. If the bar is 1.06 m long and the clay is moving at 9.30 m/s before striking the bar, what is the final speed of the center of mass?arrow_forward
- Let's consider the three atoms composing the molecule now have different masses and coordinate, while the axis of rotation is still y axis. The first atom has a mass of 9.199 kg, with x coordinate at 3.655 m and y coordinate at 8.442 m. The second atom has a mass of 41.619 kg, with x coordinate at 76.902 m and y coordinate at 57.706 m. The third atom has a mass of 39.818 kg, with x coordinate at 39.495 m and y coordinate at 25.9 m. What is the moment of inertia in unit of kg m2 with respect to the y axis?arrow_forwardLet's consider the three atoms composing the molecule now have different masses and coordinate, while the axis of rotation is still z axis that is perpendicular to the xy plane. The first atom has a mass of 142.54 kg, with x coordinate at 3 m and y coordinate at 6 m. The second atom has a mass of 82.55 kg, with x coordinate at 1 m and y coordinate at 6 m. The third atom has a mass of 8 kg, with x coordinate at 5 m and y coordinate at 9 m. What is the moment of inertia in unit of kg m2 with respect to the x axis?arrow_forwardA water molecule consists of an oxygen atomwith two hydrogen atoms bound to it. Theangle between the two bonds is 106◦ If each bond is 0.128 nm long, how far fromthe oxygen atom is the center of mass of themolecule? Take the mass of an oxygen atomto be 16 times the mass of a hydrogen atom.Answer in units of nm.arrow_forward
- What are the components of the moment of inertia of the BeBr2 body if the coordinates of the heritage sites and masses are in the following table atom X (A) y(A) z(A) mass 0 Be 0 0 9u Br 1.9 0 0 80u 0 -1.9 080u a-lc-la-la b-lolla c- lc> lo= la d-Is=la> la a Please answer within O b 60 minutes O C O d oc حيث ان u=1.67x1027 Kgarrow_forwardlet's consider the three atoms composing the molecule have different masses and coordinate, while the axis of rotation is still y-axis. The first atom has a mass of 8.61 kg, with x coordinate at 3.063 m and y coordinate at 3.826 m. The second atom has a mass of 63.048 kg, with x coordinate at 87.738 m and y coordinate at 51.326 m. The third atom has a mass of 26.317 kg, with x coordinate at 42.334 m and y coordinate at 23.115 m. What is the moment of inertia in the unit of kg m2 with respect to the y axis?arrow_forwardIn (Figure 1), take m₁ = 3.4 kg and m² = 4.2 kg. Figure 5m 8 m/s 4 m m MAD 1.5 m 0 2 m 4 m ma B 30° 1m2 6 m/s X 1 of 1 Part A Determine the z component of the angular momentum Ho of particle A about point O. Express your answer in kilogram-meters squared per second to three significant figures. ΑΣΦΗ Πvec (Ho): = 124.19 Submit Previous Answers Request Answer * Incorrect; Try Again; 2 attempts remaining Part B (Ho): = Determine the z component of the angular momentum Ho of particle B about point O. Suppose that Express your answer in kilogram-meters squared per second to three significant figures. ΕΠΙΑΣΦΠ Submit vec Provide Feedback Previous Answers Request Answer * Incorrect; Try Again; 5 attempts remaining ? kg.m²/s ? kg.m²/sarrow_forward
- a. 2. An oxygen gas molecule (O,) has a moment of inertia of 1.9 x 10 46 kg · m2 about an axis that is perpendicular and midway between the two oxygen atoms. If the total mass of the molecule is 5.3 x 10-26 kg, what is the approximate distance between the two oxygen atoms?arrow_forwardConsider an oxygen molecule (O2) rotating in the xy plane about the z axis. The axispasses through the center of the molecule, perpendicular to its length. The mass of each oxygen atom is 2.66 x 10-26 kg, and at room temperature the average separation between the two atoms is d=1.21 x 10-10 m (the atoms are treated as point masses). a) Calculate the moment of inertia of the molecule about the z axis. b) If the angular speed of the molecule about the z axis 4.60 x 1012 rad/s, what is its rotational kinetic energy?arrow_forwardDetermine the coordinates of the mass center of the body which is constructed of three pieces of uniform thin plates welded together. Answers: 1.9 b (X,Y,Z) = (i 2.9 b 1.0 b i IM ) barrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning