The minimum force necessary to pull up a body alonga rough inclined su

1.	The minimum force necessary to pull up a body alonga rough inclined surface is F. But it becomes F', whenapplied parallel to the inclined plane. If y is the coeffi-cient of friction between the body and the inclinedplane, show that F' = Fsqrt(1-mue square)
Answer» ANSWER: The minimum force required to START pushing a body up a ROUGH inclined plane is F 1 =mgsinθ+μgcosθ ......(i) Minimum force needed to prevent the body from sliding down the inclined plane is F 2 =mgsinθ−μgcosθ ...........(ii) DIVIDE (i) by (ii), we get F 2 F 1 = sinθ−μcosθ (sinθ+μcosθ = tanθ−μ tanθ+μ = 2μ−μ 2μ+μ =3 (tanθ=2μ (given)) Explanation:

The minimum force necessary to pull up a body alonga rough inclined surface is F. But it becomes F', whenapplied parallel to the inclined plane. If y is the coeffi-cient of friction between the body and the inclinedplane, show that F' = Fsqrt(1-mue square)

Answer»

ANSWER:

The minimum force required to START pushing a body up a ROUGH inclined plane is

=mgsinθ+μgcosθ ......(i)

Minimum force needed to prevent the body from sliding down the inclined plane is

=mgsinθ−μgcosθ ...........(ii)

DIVIDE (i) by (ii), we get

sinθ−μcosθ

(sinθ+μcosθ

tanθ−μ

tanθ+μ

2μ−μ

2μ+μ

=3 (tanθ=2μ (given))

Explanation:

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The minimum force necessary to pull up a body alonga rough inclined surface is F. But it becomes F', whenapplied parallel to the inclined plane. If y is the coeffi-cient of friction between the body and the inclinedplane, show that F' = Fsqrt(1-mue square)​

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The minimum force necessary to pull up a body alonga rough inclined surface is F. But it becomes F', whenapplied parallel to the inclined plane. If y is the coeffi-cient of friction between the body and the inclinedplane, show that F' = Fsqrt(1-mue square)