A football player of height h is subjected to a horizontal push at his shoulders, which are a distance h/4 from his center of mass, which in turn is a distance 5h/8 from his feet (see Figure). To counteract the push he leans forward at an angle 0 to the vertical. The coefficient of static friction between the player's feet and the pitch is µ. Find the minimum angle 0, of lean such

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Chapter1: Units, Trigonometry. And Vectors
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that the player slides backwards rather than being overturned by a strong
push.
Transcribed Image Text:that the player slides backwards rather than being overturned by a strong push.
A football player of height h is subjected to a horizontal push at his
shoulders, which are a distance h/4 from his center of mass, which in turn
is a distance 5h/8 from his feet (see Figure). To counteract the push he leans
forward at an angle 0 to the vertical. The coefficient of static friction between
the player's feet and the pitch is µ. Find the minimum angle 0, of lean such
Transcribed Image Text:A football player of height h is subjected to a horizontal push at his shoulders, which are a distance h/4 from his center of mass, which in turn is a distance 5h/8 from his feet (see Figure). To counteract the push he leans forward at an angle 0 to the vertical. The coefficient of static friction between the player's feet and the pitch is µ. Find the minimum angle 0, of lean such
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