FYKOS Year 37 Series 3 Problem 2 — stable sheep · FYKOS 37 #37.3.2

Physics · mechanics

Problem

Consider a rectangular board and a block of wood with dimensions a=20 cma=20\,\mathrm{cm}, b=10 cmb=10\,\mathrm{cm}, and c=5 cmc=5\,\mathrm{cm} (the shape of the inverted letter LL is our approximation of a sheep). The edges of the board are parallel to the edges of the base of the block. Assuming the block tips over before sliding, at what angle will it tip over if we tilt it successively around each of the edges of the board? (See figure)

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