y dm = A dx -L- dx Figure 9.20 (Example 9.11) The geometry used to find the center of mass of a uniform rod.
y dm = A dx -L- dx Figure 9.20 (Example 9.11) The geometry used to find the center of mass of a uniform rod.
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(A) Show that the center of mass of a rod of mass M and length L lies midway between its ends, assuming the rod has a uniform mass per unit length. (B) Suppose a rod is nonuniform such that its mass per unit length varies linearly with x according to the expression λ = ax, where a is a constant. Find the x coordinate of the center of mass as a fraction of L.
Transcribed Image Text:y
dm = A dx
-L-
dx
Figure 9.20 (Example 9.11) The
geometry used to find the center
of mass of a uniform rod.
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