question_answer

A table with smooth horizontal surface is fixed in a cabin that rotates with a uniform angular velocity \[\omega \]in a circular path of radius R. A smooth groove AB of length L<<R is made on the surface of the table. The groove makes an angle \[60{}^\circ \]with the radius OA of the circle in which the cabin rotates. A small particle is kept at the point A in the groove and is released to move along AB. The time taken by the particle to reach the point B is a\[\sqrt{\frac{L}{{{\omega }^{2}}R}}\]. Determine a.

Answer:

2.00