thin flat disc. are rotated at 10 rev s. 4. 10kg and at room temperature, the average separation between atoms is d = 1.21 x 101ºm (Note that the atoms are moda 4.6 x 1012 rad s', what is its rotational kinetic energy? (Ans.: (a) 1 x 10“kg m² (b) 2.06 x 102J) Four tiny spheres are fastened to the ends of the rods of negligih 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 enere about this axis (b) suppose the system rotates in the xy plane about axis (the z axis) through 0, calculate the moment of inertia a rotational kinetic energy about this axis. (Ans.: (a) I, = 2Ma“, KE Mao (b) I, = 2Ma? + 2mb?, KE, = %3D (Ma² + mb²)w²)

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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Given 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
[60]
Transcribed Image Text:Given 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 [60]
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