Rotating Platform / Turntable Friction Problems

Questions where an object sits on a rotating disc or turntable and friction determines the condition for slipping, asking for maximum radius, angular velocity, or critical distance.

jee-main 2023 Q3 View
A coin placed on a rotating table just slips when it is placed at a distance of 1 cm from the centre. If the angular velocity of the table is halved, it will just slip when placed at a distance of $\_\_\_\_$ from the centre:
(1) 8 cm
(2) 4 cm
(3) 1 cm
(4) 2 cm