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Q.

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 300, 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

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a

0.4 and 0.3

b

0.6 and 0.6

c

0.6 and 0.5

d

0.5 and 0.6

answer is C.

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Detailed Solution

Coefficient of static friction,         μs = tan 300 = 13 = 0.6Acceleration of the box, a = g sin 300 - μKg cos 300Using, S = ut + 12at2⇒ 4 = 12[g2-μkg32]×16   ⇒ μK = 0.5
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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 300, 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