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Q.

A bead of mass m is free to slide on a fixed horizontal circular wire of radius R. At time t = 0, it is given a velocity v0 along the tangent to the circle. If the coefficient of kinetic friction between the bead and the wire is μk. Then magnitude of tangential acceleration at t = 0 will be

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a

μkg

b

μkv2R

c

μkRv4+g2R2

d

μkg+v2R

answer is C.

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Detailed Solution

Net normal force N=(mg)2+mv2R2fk=μkNa=fkm=μkRg2R2+v4
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A bead of mass m is free to slide on a fixed horizontal circular wire of radius R. At time t = 0, it is given a velocity v0 along the tangent to the circle. If the coefficient of kinetic friction between the bead and the wire is μk. Then magnitude of tangential acceleration at t = 0 will be