The Elements of Physics a College Text book volume 1
The Elements of Physics a College Text book volume 1
E L Edward Leamington Nichols
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If the body be started, it will vibrate in such a way that in which K is the moment of inertia of the body, and r is the period of its vibrations. The balance wheel of a watch is a torsion pendulum, the governing torque being due to the hair spring. 106. The torsion pendulum in the experimental study of moments of inertia. In case b is known, by previous experiments with the same wire and a suspended weight the moment of inertia of which is known, we may, after determining r, compute K from equ...ation (71). By this method the various state- ments and principles given in Arts. 97 to 99 may be empirically verified. Example. If a cylindrical weight (Fig. 53) is suspended from a vertical wire, the axis of its motion being the Fig. 53. Axis of the cylinder, and if the nature MOMENT OF INERTIA. 7 ! of the suspension be such that this motion can take place only by virtue of the twisting of the wire, the arrangement will con- stitute a torsion pendulum. Suppose it be required to find the ratio of the length of a homogeneous cylinder to its radius, such that the period of oscillation will be the same whether the axis of gyration be the axis of figure or perpendicular to the same and passing through the center of the mass.
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