A disc rolls on the inside of a fixed hollow circular cylinder whose axis is horizonalal, the plane of the disc being vertical and perpendicular to the axis of the cylinder; if, when in its lowest position, its centre is moving with a velocity √√g(a - b); show that the centre of the disc will describe an (1-9) angle o about the centre of the cylinder in time 1/2 {3(a - b)] log tan
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