Elementary Experimental Mechanics

Cover Elementary Experimental Mechanics
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Exercise XXII. Equilibrium of a Body (1) From a uniform iron rod of mass m and length I, a mass M is suspended at a distance h from one end of the rod, and the rod is sup- ported by a horizontal force, F-^, applied to the lower end and a force, Fgi applied to the upper end at an angle of 45° with the horizontal.
Find -Fj and F^, and the inclination of the rod to the horizontal.
This problem is to be solved theoretically, and the result tested experi- mentally. For the experimental work the rod
...is suspended in front of 132 DYNAMICS the cross-section board by two springs which apply the forces JPj and F2. The springs are attached to small hooks in the end of the rod, the other ends of the springs being borne by pegs inserted in the cross- section board. The cord that sustains ilf may be fastened to the rod by a slip-noose that binds on the rod, or it may pass through a hole in the rod. The tensions of the springs are deduced from their lengths and calibration curves.
(2) The same rod with its attached weight is held at 30° to the horizontal by a horizontal force at the lower end, and an inclined force at the upper end.


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