A particle is placed on the inside of a rough, hollow cylinder of radius 2a. The cylinder

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A particle is placed on the inside of a rough, hollow cylinder of radius 2a. The cylinder is placed upright and 43 can rotate about an axis through its centre. The particle has mass in and the coefficient of friction is 3/4. Given the particle does not slip as the cylinder rotates, find the speed at which the cylinder rotates.

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