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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 30º the box starts to slip and slides 4.0 m down the plank in 4.0s. The coefficients of static and kinetic friction between the box and the plank will be, respectively :
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- 0.6 and 0.5
- 0.5 and 0.6
- 0.4 and 0.3
- 0.6 and 0.6
Correct Option: A
Coefficient of static friction,
µs = tan 30° = 1/√3 = 0.577 ≅ 0.6
S = ut + 1/2 at²
| 4 = | a(4)² ⇒ a = | = 0.5 | ||
| 2 | 2 |
[∵ s = 4m and t = 4s given]
a = gsinθ – µk(g) cosθ
| ⇒ µk = | = 0.5 | |
| √3 |
