Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 10, Problem 84P
(a)
To determine
ToCalculate: Theangular speed necessary to produce the observed intrinsic
(b)
To determine
ToShow: The speed of a point on the "equator" of a "spinning" electron.
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Steiner’s theorem and gyration radius.
A metal tank wheel in the shape of a disc of radius R is lightened by cutting out six identical through- holes in the shape of discs, whose axes are parallel to the wheel’s axis of rotation, and whose radii are all r. The holes’ centers are positioned at the vertices of a regular hexagon of side A, with the wheel’s axis passing through the center of the hexagon.
By what percentage is the wheel lightened, as a result of the cutouts, for r=R/5?
Is the solution:
area of wheel = pi*R?
area of 6 cutouts = 6* pi*(R/5)2 = 0.24* pi*R2
So, percentage reduction of weight = (0.24)*100% = 24%?
The thin, homogeneous, circular disk B rotates about a fixed, frictionless axis O, located at its centre, with an angular velocity of ω = 2.5 rad/s (clockwise). Object Alands on the disk at the indicated position where θ = 53o, with an absolute velocity of 1.8 m/s at an angle of ψ = 25o as shown. Determine the angular speed of disk Bimmediately after object A has landed and rotates with B. Take the mass of the object as mA = 5 kg and the radius of gyration about an axis passing perpendicularly through its centre of gravity as kG = 0.18 m. The mass of disk B is mB = 14 kg and its radius is R = 1.7 m. Initially object A is a distance of r = 1.1 m from the axis of rotation.
Choose the correct answer:
a) 2.500 rad/s
b) 1.737 rad/s
c) 2.088 rad/s
d) 2.252 rad/s
e) 1.642 rad/s
(2) (a) Find the equation of orbit when a particle is in a central force,
f(r) = -+, where k and c are positive constants.
(b) State the major effect caused by the inverse cubic repulsive force. (
-State ît. Dont need mathemtiral representa Tion
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a vT) = Br potential, B is a positive constant. Find the shape of
Chapter 10 Solutions
Physics for Scientists and Engineers
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