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 w about its axis in the positive xaxis 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

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 negative y-axis direction 

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