Question
A rigid uniform annular disc is pivoted on a knife edge A in a uniform gravitational field as shown, such that it can execute small amplitude simple harmonic motion in the plane of the figure without slip at the pivot point. The inner radius π and outer radius π are such that π2 = π 2/2, and the acceleration due to gravity is π. If the time period of small amplitude simple harmonic motion is given by T= ΓΟβ(R/g), where π is the ratio of circumference to diameter of a circle, then π½= ________ (round off to 2 decimal places).
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