2) A solid ball is released from rest and slides down a hillside that slopes downward at 4n/9 rad from the horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be sufficient to prevent a hollow ball (such as a soccer ballI) from slipping? Mathematically justify your answer.

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A solid ball is released from rest and slides down a hillside that slopes downward at 4π/9 rad from the horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be sufficient to prevent a hollow ball (such as a soccer ball) from slipping? Mathematically justify your nswer.

2) A solid ball is released from rest and slides down a hillside that slopes downward at 4n/9 rad from the
horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball
surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be
sufficient to prevent a hollow ball (such as a soccer ballI) from slipping? Mathematically justify your
answer.
Transcribed Image Text:2) A solid ball is released from rest and slides down a hillside that slopes downward at 4n/9 rad from the horizontal. (a) What minimum value must the coefficient of static friction between the hill and ball surfaces have for no slipping to occur? (b) Would the coefficient of friction calculated in part (a) be sufficient to prevent a hollow ball (such as a soccer ballI) from slipping? Mathematically justify your answer.
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