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Questions  

A small object placed on a rotating horizontal turn table just slips when it is placed at a distance 4 cm from the axis of rotation. If the angular velocity of the turn-table is doubled, the object slips when its distance from the axis of rotation is 

a
1 cm
b
2 cm
c
4 cm
d
8 cm

detailed solution

Correct option is A

The object will slip if the required centripetal force ≥ force of friction                     mrω2 ≥ μmg                   rω2  ≥ μg                    rω2  ≥ constantor r1r2 = ω2ω124 cmr2 = 2ωω2      r2= 1 cm

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