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

Question

Infinity Learn · Accepted Answer

The object will not slip if the centripetal force is equal to or greater than force of friction, i.e.,$$mvb24$$≥μR  or  mω$$2r$$≥μmgor ω$$2r$$≥μg  or  r∝$$1/$$ω$$2$$∴ $$r2r1=$$ω$$1$$ω$$22$$  or  $$r2=r1$$ω$$1$$ω$$22or$$, $$r2=4$$×ω$$12$$ω$$2=1cm$$

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material