Cambridge Senate-House Examination Papers, 1860-61, Being a Collection of All the Papers Set At the Examinations for the Degrees, the Various Triposes, And the Theological Examinations: Also, the Chancellor's Medals And Smith's Prizes ..

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Two equal uniform rods whose density is p are jointed together at an angle 2^. If they be immersed with the angle downwards in a fluid of density a, find the positions of equilibrium, and shew that the rods cannot rest with the line joining their extremities inclined to the horizon unless be greater than sin'a. If this condition be fulfilled, determine which " + P of the positions of equilibrium is stable.
8. Two infinite rods of the same uniform material and thickness are rigidly fastened at r
...ight angles to each other at one extremity of each.
The matter of which the rods are composed attracts according to the law of nature ; shew that a smooth ring vrill rest in equilibrium on a wire bent into the form of the curve {xy + o'}" = 2a' {x + y)' at any point, the axes of co-ordinates coinciding with the rods, and a being an arbitrary constant.
9. Two heavy particles of masses m, wl are connected by an elastic weightless string which passes round a smooth peg. The heavier (m') initially rests on a horizontal platform, and the string is double its natural length.


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