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A uniform ladder rests against a smooth vertical wall and on a rough horizontal ground. The weight of the ladder is 10N and it is just about to slip when inclined 30 degrees to the vertical. Calculate the coefficient of friction

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Answer: 0.577

Explanation: assume ladder makes angle theta with horizontal

forcing angle and weight w=10N

when ladder is about to slip the fractional force f its maximum value f=meuN

meu=coefficient of friction between ladder

perpendicular component N=Wcostheta,t=W sintheta

meu=(Ttanalpha)/N=(W sin theta tanalpha)/(w cos theta)=tantheta tanalpha

theta=30degree

alpha=60 degree

meu=tan30degree tan60degree=0.577

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User NickBraunagel
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