First slide

Pseudo force

Question

If the coefficient of friction between A and B is $μ$ , the maximum acceleration of the wedge A for which B will remain at rest with respect to the wedge is

Difficult

A

$μ g$
B

$g (\frac{1 + μ}{1 - μ})$
C

$g (\frac{1 - μ}{1 + μ})$
D

$\frac{g}{μ}$

Solution

$N \sin θ + μ N \cos θ = m a$
$N \cos θ - μ N \sin θ = m g$
Putting $θ = 45^{0}$ and solving these two equations, we get
$a = g (\frac{1 + μ}{1 - μ})$

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