Question

What is the minimum acceleration $\left(a_0\right)$ of the cart in the given figure so that block $P$ will not fall? (Assume coefficient of friction as $\mu$).

• A. $g/\sqrt{\mu }$
• B. $g/\mu$
• C. $2\mu g$
• D. ${\mu }^{2}g$

Answer 1

Answer: (B)

$g/\mu$

Due to frictional force, the block will be prevented from falling.
From figure, we have
$N=m{a}_0....\left(i\right)$
$f=mg=\mu N....\left(ii\right)$
Solving Eqs. (i) and (ii), we get
$mg=\mu \left(m{a}_0\right)$
$\Rightarrow a_0=g/\mu$.