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
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