A block of mass m slides down the plane inclined at angle 30° with an acceleration g/4. The value of coefficient of kinetic friction will be:
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A block of mass m slides down the plane inclined at angle 30° with an acceleration g/4. The value of coefficient of kinetic friction will be:

G1 Physics · Accepted Answer

Along the incline, mg sin30° − μmg cos30° = m(g/4). Thus g/2 − μg(√3/2) = g/4. Hence μ√3/2 = 1/4, giving μ = 1/(2√3).