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

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 $$300$$, 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

Infinity Learn · Accepted Answer

Coefficient of static friction,         μs $$=$$ $$tan$$ $$300$$ $$=$$ $$13$$ $$=$$ $$0.6Acceleration$$ of the box, a $$=$$ g $$sin$$ $$300$$ $$-$$ μKg $$cos$$ $$300Using$$, S $$=$$ ut $$+$$ $$12at2$$⇒ $$4$$ $$=$$ $$12$$[$$g2-$$μ$$kg32$$]×$$16$$   ⇒ μK $$=$$ $$0.5$$

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