Задача id9521

An ice slide has formed near the road leading to the roadway. The surface of the slide is a plane that makes an angle a with the horizontal direction. A passing road car managed to cover the hill from below to half its height with sand. The coefficient of sliding friction of the sled runners on ice and sand is μ = 0.5. Neglecting the friction of the sled on ice without sand, find the maximum value of angle a at which the sled will not be able to reach the base of the slide, sliding down from its top without an initial speed.

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