FYKOS Year 33 Series 6 Problem 3 — hung · FYKOS 33 #33.6.3

Physics · mechanics · electromagnetism

Problem

What weight can be hung from one end of a coat hanger without turning it over? The hanger consists of a hook made from very light wire, attached to the centre of a straight wooden rod with length

l = 30\,\mathrm{cm}

and weight

m=200\,\mathrm{g}

. The hook has the shape of a circular arc with a radius

r=2.5\,\mathrm{cm}

and angular spread

\theta=240^\circ

. The distance between the centres of the arc and the rod is

h=5\,\mathrm{cm}

. Neglect any friction.

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