A table with smooth horizontal surface is fixed in a cabin that rotate

1.	A table with smooth horizontal surface is fixed in a cabin that rotates with a uniform angular velocity ω in a circular path of radius R (figure 7-E3). A smooth groove AB of length L(<<R) is made on the surface of the table. The groove makes an angle ω 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. Find the time taken by the particle to reach the point B.
Answer» A table with smooth horizontal surface is fixed in a cabin that rotates with a uniform angular velocity $ω$ in a circular path of radius R (figure 7-E3). A smooth groove AB of length L(<<R) is made on the surface of the table. The groove makes an angle $ω$ 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. Find the time taken by the particle to reach the point B.

A table with smooth horizontal surface is fixed in a cabin that rotates with a uniform angular velocity ω in a circular path of radius R (figure 7-E3). A smooth groove AB of length L(<<R) is made on the surface of the table. The groove makes an angle ω 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. Find the time taken by the particle to reach the point B.

Answer»

A table with smooth horizontal surface is fixed in a cabin that rotates with a uniform angular velocity $ω$ in a circular path of radius R (figure 7-E3). A smooth groove AB of length L(<<R) is made on the surface of the table. The groove makes an angle $ω$ 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. Find the time taken by the particle to reach the point B.

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