Question:

A circular table is rotating with an angular velocity of  rad/s about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently placed at a distance of 1m on the groove. All the surface are smooth. If the radius of the table is 3 m, the radial velocity of the ball w.r.t. the table at the time ball leaves the table is x√ 2 m/s, where the value of x is………..

 

                                                         JEE-2024        

Solution:                
A circular table is rotating with an angular velocity of  rad/s about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently placed at a distance of 1m on the groove. All the surface are smooth. If the radius of the table is 3 m, the radial velocity of the ball w.r.t. the table at the time ball leaves the table is x√ 2 m/s, where the value of x is……….. JEE-2024

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