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

Question

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:

NEET 2015 (Phase 2)

TestHub · Accepted Answer

μ s = tan ⁡ 30 o = 1 3 ⇒ μ s = 0.57 = 0.6 S = u t + 1 2 a t 2 4 = 1 2 a 4 2 ⇒ a = 1 2 = 0.5 a = g s i n θ - μ k g c o s θ ⇒ μ K = 0.9 3 ≈ 0.5

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