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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

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a

1 cm

b

2 cm

c

4 cm

d

8 cm

answer is A.

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Detailed Solution

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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