A 20-lb disk has a radius of 1ft and can roll without slip on a rough

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A 20-lb disk has a radius of 1ft and can roll without slip on a rough plane that is inclined by an angle è to the horizontal. The disk is attached to the lower end of a linear spring of stiffness 10lb/in. The upper end of the spring is attached to a wall. Determine the natural period of vibration of the disk.

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