Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 11, Problem 13P
GO Nonuniform ball. In Fig. 11-36, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.48 m. The initial height of the ball is h = 0.36 m. At the loop bottom, the magnitude of the normal force on the ball is 2.00Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of the ball can be expressed in the general form I = βMR2, but β is not 0.4 as it is for a ball of uniform density. Determine β.
Figure 11-36 Problem 13.
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Nonuniform ball. a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.48 m. The initial height of the ball is h =0.36 m. At the loop bottom, the magnitude of the normal force on the ball is 2.00Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of the ball can be expressed in the general form I = bMR2, but b is not 0.4 as it is for a ball of uniform density. Determine b.
A thin spherical shell of mass m and radius R rolls down a parabolic path PQR from a height H
without slipping. Part PQ is sufficiently rough while part QR is smooth. If the height reached by the
shell on the part QR be h, then h/H is given by (assume R < < H)
R
Chapter 11 Solutions
Fundamentals of Physics Extended
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