Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 5, Problem 107P
To determine
To Find:The location of the center of mass (in terms of
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If a thin 1-m cylindrical rod has a density of ρ = 1 g/cm for itsleft half and a density of ρ = 2 g/cm for its right half, what is itsmass and where is its center of mass?
Question 9: A half uniform annulus of inner and outer radii R1 and R2 has a non-
uniform surface mass density given by o = 0or where oo is a positive constant and r
is the radial distance from the origin (radial coordinate in the cylindrical coordinates)
as shown in Figure 6. Find
i) the mass of the half annulus, and
ii) the position of the center of mass, i.e., (xem, Yem) the center of mass in terms of
Rị and R2.
R2
M
X
Figure 6
A rod of length 30.0 cm has linear density (mass per length) given by λ = 50.0 + 20.0xwhere x is the distance from one end, measured in meters, and λ is in grams/meter. (a) What is the mass of the rod? (b) How far from the x = 0 end is its center of mass?
Chapter 5 Solutions
Physics for Scientists and Engineers
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