Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Question
Chapter 10, Problem 58P
(a)
To determine
ToCalculate:The moment of inertia about its center of mass.
(b)
To determine
ToCalculate: The energy
(c)
To determine
ToCalculate: The energy of a photon emitted when a nitrogen molecule drops from the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The l = 2 rotational level of the hydrogen chloride (HCl) molecule has energy 7.90 meV. The mass of the most common hydrogen atom is 1.674 * 10-27 kg, and the mass of the most common chlorine atom is 5.807 * 10-26 kg. Find the moment of inertia of the HCl molecule.
Let'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?
The three principal moments of inertia of a methanol (CH3OH) molecule have the
property I = I, = I and I, + I. The rotation energy eigenvalues are
h'm ( 1
(a)
(1 +1)+
(b)
21
-(1 +1)
21
21
h*m
1
h?
h*m ( 1
1
1
(d) (1+1)+
21
21
I.
I
2
I.
I
Chapter 10 Solutions
Physics for Scientists and Engineers
Ch. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10P
Ch. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - Prob. 28PCh. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - Prob. 49PCh. 10 - Prob. 50PCh. 10 - Prob. 51PCh. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 59PCh. 10 - Prob. 60PCh. 10 - Prob. 61PCh. 10 - Prob. 62PCh. 10 - Prob. 63PCh. 10 - Prob. 64PCh. 10 - Prob. 65PCh. 10 - Prob. 66PCh. 10 - Prob. 67PCh. 10 - Prob. 68PCh. 10 - Prob. 69PCh. 10 - Prob. 70PCh. 10 - Prob. 71PCh. 10 - Prob. 72PCh. 10 - Prob. 73PCh. 10 - Prob. 74PCh. 10 - Prob. 75PCh. 10 - Prob. 76PCh. 10 - Prob. 77PCh. 10 - Prob. 78PCh. 10 - Prob. 79PCh. 10 - Prob. 80PCh. 10 - Prob. 81PCh. 10 - Prob. 82PCh. 10 - Prob. 83PCh. 10 - Prob. 84PCh. 10 - Prob. 85PCh. 10 - Prob. 86P
Knowledge Booster
Similar questions
- 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_forwardThe 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.arrow_forwardWhen centrifugal stretching is included in the energy for the states of the rigid rotor, equation has an extra term llind 2B(J, + 1) -4D(J, + 1), Equation (7- 67), where J is the quantum number for the initial rotational state, B is the rotational constant and D is the centrifugal distortion constant. Use the data in Table 7.2 to determine both B and D graphically. Be careful how you use units. Compare the magnitudes of B and D. What is the percent difference between B determined without centrifugal stretching and that found here including centrifugal stretching? What would be the corresponding percent error in the bond length computed from 8?arrow_forward
- The 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_forwardA thin, homogeneous square of mass m and side a is welded to a vertical shaft AB with which it forms an angle of 45°. Knowing that the shaft rotates with an angular velocity w=w j and an angular acceleration a = aj, determine the rate of change of the angular momentum HA of the plate assembly.arrow_forwardGiven two w as all its mass concentrated in thin flat disc. Calculate the rotational kinetic energy Ul O if the Consider the 6. particle has others by rod are rotated at 10 rev s'. 4. particles) (a) Calculate the moment of inertia of the molecule al 4.6 x 1012 rad s', what is its rotational kinetic energy? (Ans.: (a) 1 x 104“kg m² (b) 2.06 x 10²'J) 5. Four tiny spheres are fastened to the ends of the rods of negligi mass lying in the xy plane as shown in the figure below. Assumi that the radii of the spheres are small compared with the dimension the rods (a) If the system rotates about the y axis with an angul speed o, find the moment of inertia and the rotational kinetic ener about this axis (b) suppose the system rotates in the xy plane about a axis (the z axis) through 0, calculate the moment of inertia an rotational kinetic energy about this axis. (Ans.: (a) I, = 2Ma“, KE, Ma'o (b) I, = 2M2² + 2mb², KE, = (Ma² + mb³)m²) (a) Deter of the z axi array parti %3D %3D 7. particl Consic…arrow_forward
- Given the rotational constant A = 6.344 cm-1 and B = 10.59 cm-1 and draw the rational energy level for symmetric rotorsarrow_forwardProblem ,. The figure below shows a two-dimensional body connected to the ground by two links AB and CD which are both free to rotate. The length of both links is 1.1 m. When the velocity of point B is -10j m/s, the angle beta is 90 degrees, and the angle theta is 45 degrees, what would be the angular speed of the body? 1.2 m Y A 4 k В DB cally wit 2.8 m of PULOR j Ci karrow_forwardA composite beam is made of two brass [E = 107 GPa] plates bonded to an aluminum [E = 73 GPa] bar, as shown. Find the moment of inertia about the z axis of the equivalent all-aluminum beam. Z Brass Aluminum Brass y 50 mm O763600 mm4 O501500 mm 4 O 711000 mm 4 842100 mm4 10 mm 30 mm 10 mmarrow_forward
- From classical physics, we know that angular momentum, moment of inertia, and angular velocity are related via L=100 and E= If the rotational energy is 941.5 J and the angular velocity is 9.2 sec-1, what is the moment of inertia (in kg-m²)? Report your answer as a decimal number to three significant figures.arrow_forwarda rigid assembly of a thin hoop (of mass m = 0.25 kg and radius R = 0.19 m) and a thin radial rod (of length L = 2R and also of mass m = 0.25 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly in the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation?arrow_forwardMomentum, P = (2.0 kg m/sec)î – (7.0 kg m/sec)ĵ acts on a particle with position vector 7 = (3.0 m)î – (1.0 m)ĵ. If ř and P are working in Y and – Z direction respectively, what would be the direction of Angular momentum, L.arrow_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 with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning