A rectangular block, with face 1 2 k Figure 15-41 34. L r Figure 15-42 41. A Figure

Chapter 15, Problem 48

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A rectangular block, with face 1 2 k Figure 15-41 34. L r Figure 15-42 41. A Figure 15-43 44. Pivot d R lengths a 35 cm and b 45 cm, is to be suspended on a thin horizontal rod running through a narrow hole in the block. The block is then to be set swinging about the rod like a pendulum, through small angles so that it is in SHM. Figure 15-45 shows one possible position of the hole, at distance r from the blocks center, along a line connecting the center with a corner. (a) Plot the period versus distance r along that line such that the minimum in the curve is apparent. (b) For what value of r does that minimum occur? There is a line of points around the blocks center for which the period of swinging has the same minimum value. (c) What shape does that line make? abrFigure 15-45 48.

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