A body of mass 10kg rests on a rough inclined plane whose angle of tilt θ is variable. θ is gradually increased until the body starts to slide down the plane at 30 degrees. The coefficient of limiting friction between the body and the plane

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QUESTIONS 7: A body of mass 10kg rests on a rough inclined plane whose angle of tilt θ is variable. θ is gradually increased until the body starts to slide down the plane at 30 degrees. The coefficient of limiting friction between the body and the plane

A. 0.30

B. 0.50

C. 0.58

D. 0.87

Ans :0.58: 

JAMB 1990

SOLUTIONS 

μ = Wsin θ /Wcos θ = tan θ

μ = tan 30 = 0.577 = 0.58