Question

A block slides down an incline of inclination angle 30 with an acceleration g/4 find the coefficient of kinetic friction

Answer 1

Given :Inclination angle=θ=30 degreesa=g/4 m/s²Coefficient of Kinetic friction .

Total net force= mg/4=mgsinθ-μmgcosθ

where μ is coefficient of kinetic friction.

mg/4=mg[sinθ-μcosθ]

[sinθ-μcosθ] =1/4

Substituting the inclination angle, we get

sin30- μcos30=1/4
1/2-μ√3/2=1/4
1/2-1/4=μ√3/2
2-1/4=μ√3/2
1/4=μ√3/2

μ=1/√3/2