A weight W rests on a rough horizontal plane. If the angle of friction be θ, the least force that will move the body along the plane will be

Question

A weight W rests on a rough horizontal plane. If the angle of friction be θ, the least force that will move the body along the plane will be (A) W cos θ (B) W cot θ (C) W tan θ (D) W sin θ

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/5678be093696c3bfeaa78ab3a409d6cc-.png" /> F-μ N=m(0) ; N=W ; F=μ W ⇒ F=W tan θ

Q. A weight $W$ rests on a rough horizontal plane. If the angle of friction be $θ$ , the least force that will move the body along the plane will be

$W cos θ$

$W cot θ$

$W tan θ$

$W sin θ$

$F - μ N = m (0); N = W; F = μ W \Rightarrow F = W tan θ$

Q. A weight W rests on a rough horizontal plane. If the angle of friction be θ, the least force that will move the body along the plane will be

Wcosθ

Wcotθ

Wtanθ

Wsinθ