p13_002.pdf

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Chapter 13 - 13.2
2. (a) If it were not leaning (the ideal case), its center of mass would be directly above the center of its
base – that is, 3 . 5m from the edge. Thus, to move the center of mass from that ideal location to
a point directly over the bottom edge requires moving the center of the tower 3 . 5m horizontally.
Measured at the top, this would correspond to a displacement of twice as much: 7 . 0m.Now,the
top of the tower is already displaced (according to the problem) by 4 . 5m, so what is needed to put
it on the verge of toppling is an additional shift of 7 . 0
4 . 5=2 . 5m.
(b) The angle measured from vertical is tan − 1 (7 . 0 / 55) = 7 . 3 ◦ .
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