Question

A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and 𝑔 is the acceleration due to gravity. The disc is then given a rapid spin 𝜔 about its axis in the positive x-axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE will

Options :

  1. rotate slowly (compared to 𝜔) about the negative z-axis direction

  2. rotate slowly (compared to 𝜔) about the positive z-axis direction

  3. rotate slowly (compared to 𝜔) about the positive y-axis direction

  4. rotate slowly (compared to 𝜔) about the positive y-axis direction

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Answer :

rotate slowly (compared to 𝜔) about the negative z-axis direction

Solution :

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