The force along the incline to just move a body up an inclined plane is double the force along the incline is double the force along the incline to just prevent it from sliding down. If éis angle of friction and e is the angle which incline makes with the horizontal then,
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Answer:
Where F
1
,is the force required to just move the body up the inclineand F
2
is the force required for the body to prevent it from sliding.
Now,
F
1
=mgsinθ+μmgcosθ
F
2
=mgsinθ−μmgcosθ
⇒
F
2
F
1
=2=
mgsinθ−μmgcosθ
mgsinθ+μmgcosθ
2(sinθ−μcosθ)=sinθ+μcosθ
sinθ=3μcosθ
tanθ=3μ
θ=tan
−1
(3μ)
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