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 $4 . 0m$ down the plank in $4 . 0s$ . The coefficients of static and kinetic friction between the box and the plank will be, respectively:

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 . 0m

down the plank in

4 . 0s

. The coefficients of static and kinetic friction between the box and the plank will be, respectively:
A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the

A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the

Quantrex Academy · Accepted Answer

Correct answer: A. 0.6 and 0.5

μ _ s = tan 30 ^ o = 1 3 ⇒ μ _ s = 0.57 = 0.6 S = ut + (1)/(2)a t ^ 2 4 = (1)/(2)a (4) ^ 2 ⇒ a = (1)/(2) = 0.5 a = gsinθ - μ _ k (g)cosθ ⇒ μ _ K = 0.9 3 0.5

A plank with a box on it at one end is gradually raised about the...

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