JEE Main20248 Apr 2024Evening ShiftPhysicsWork, Power and EnergyActual
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 1 ~m on the groove. All the surfaces 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 _____.
Correct answer
0
Step-by-step solution
aligned & a_c= ^2 x & v d v d x = ^2 x & ₀^v v d v= ₁^3 ^2 x d x & v^2 2 = ^2 [ x^2 2 ] & v^2 2 = ^2 2 [3^2-1^2 ] & v=2 2 & x=2 aligned