A disc rolls on the inside of a fixed hollow circular cylinder whose axis is horizonatal, 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 8(a - b); show that the centre of the disc will describe an (1-3) angle o about the centre of the cylinder in time 1/2 - {3(a - b))}/² log tan

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A disc rolls on the inside of a fixed hollow circular cylinder
whose axis is horizonatal, 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 8(a − b); show that the centre of the disc will describe an
3(a - b) log tan
angle about the centre of the cylinder in time
1/2
(-)
Transcribed Image Text:A disc rolls on the inside of a fixed hollow circular cylinder whose axis is horizonatal, 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 8(a − b); show that the centre of the disc will describe an 3(a - b) log tan angle about the centre of the cylinder in time 1/2 (-)
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