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There is a problem in Halliday, Resnick, and Walker that asks for thea
deviation from vertical that a plumb bob experiences when it is hung at =
latitude of 40 degrees. I consider the pendulum to be composed of twoother
component pendula, one that is perpendicular to the rotational surface,
which requires taking the sine of the weight and the tension. The =
component is parallel to the surface and has no effect. If the Earth =did
not rotate, this component pendulum would have a weight pulling down of =w
sin(theta) and a tension pulling up of T sin(theta), where theta is thesame
latitude. In the presence of rotation, the weight term remains the =
and the centripetal term comes from the additional tension force that =is
created as the pendulum moves outward by the deviation angle. I =calculate
an angle of 0.23 degrees, while the back of the book lists 0.09 =degrees.
This is Problem # 71 in Chapter 5 of the previous edition. The one =with
the streaming lights on the front.
Tom McCarthy
Saint Edward's School
1895 St. Edward's Drive
Vero Beach, FL 32963
561-231-4136
Physics and Astronomy
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