The force required to just move a body up the inclined plane is double the forces required to just prevent the body from sliding down the plane the coefficient of friction is µ. if θ is the angle of inclination of the plane the tan θ is equal to :

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Solution

F=mgsinθ-µmgcosθ


force required to just move the body up
F1=mgsinθ+µmgcosθ
it is given
F1=2f
mgsinθ+µmgcosθ=2(mgsinθ-µmgcosθ)
0r 3µmgcosθ=mgsinθ
tanθ=3µ

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The force required to just move a body up the inclined plane is double the forces required to just prevent the body from sliding down the plane the coefficient of friction is µ. if θ is the angle of inclination of the plane the tan θ is equal to :

F=mgsinθ-µmgcosθ force required to just move the body upF1=mgsinθ+µmgcosθit is givenF1=2fmgsinθ+µmgcosθ=2(mgsinθ-µmgcosθ)0r 3µmgcosθ=mgsinθtanθ=3µ

F=mgsinθ-µmgcosθ

force required to just move the body up
F1=mgsinθ+µmgcosθ
it is given
F1=2f
mgsinθ+µmgcosθ=2(mgsinθ-µmgcosθ)
0r 3µmgcosθ=mgsinθ
tanθ=3µ