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A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30°, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coefficients of static and kinetic friction between the box and the plank will be, respectively :

a
0.4 and 0.3
b
0.6 and 0.6
c
0.6 and 0.5
d
0.5 and 0.6

detailed solution

Correct option is C

Coefficient of static friction,μs=tan⁡30∘=13=0.6a=gsin⁡30∘−μkgcos⁡30∘S=ut+12at2⇒4=12g2−μkg32×16⇒μk=0.5

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