question archive A curious student sets her pencil at an angle against a classroom wall

A curious student sets her pencil at an angle against a classroom wall

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A curious student sets her pencil at an angle against a classroom wall. There is no friction between the tip of the pencil and the wall, but there is friction between the eraser and the table top. The center of mass of the pencil is 9.0cm from the eraser and 11cm from the tip. If the pencil is on the verge of slipping when theta=12 degree, what is the coefficient of static friction between the eraser and the table top? Start by drawing an easy to read free body diagram of the pencil when it is in equilibrium. Solve submission x and y method to get static friction.

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