Coefficient of friction between A and B is μ. The minimum force F with which A will be pushed such that B will not slip down is

Question

Coefficient of friction between A and B is μ. The minimum force F with which A will be pushed such that B will not slip down is (A) (M g/μ) (B) (m g/μ) (C) ((M+m) g/μ) (D) ((M-m) g/μ)

Tardigrade Admin · Accepted Answer

From the reference frame of A μ N=m g N=m a N=m((F/M+m)) μ m((F/M+m))=m g F=((M+m/μ)) g <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/3154a4e78a63c7bee24b665601b49d00-.png" />

Q. Coefficient of friction between $A$ and $B$ is $μ$ . The minimum force $F$ with which $A$ will be pushed such that $B$ will not slip down is

$\frac{M g}{μ}$

$\frac{m g}{μ}$

$\frac{( M + m ) g}{μ}$

$\frac{( M - m ) g}{μ}$

From the reference frame of $A$
$μ N = m g$
$N = ma$
$N = m (\frac{F}{M + m})$
$μ m (\frac{F}{M + m}) = m g$
$F = (\frac{M + m}{μ}) g$

Q. Coefficient of friction between A and B is μ. The minimum force F with which A will be pushed such that B will not slip down is

μMg​

μmg​

μ(M+m)g​

μ(M−m)g​