A trolley is carrying a box on its surface having coefficient of … - Vidyadip

MCQ

A trolley is carrying a box on its surface having coefficient of static friction equal to $0.3.$ Now the trolley starts moving with increasing acceleration. Find the maximum acceleration of the trolley so that the box does not slide back on the trolley.

A
$2\ ms^{-2}$
✓
$3\ ms^{-2}$
C
$4\ ms^{-2}$
D
$5\ ms^{-2}$

✓

Answer

Correct option: B.

$3\ ms^{-2}$

As trolley accelerates forward, a pseudo force acts on the box in reverse. It prevents its slippage in backward direction, as friction starts acting on it. But as friction can be increased to a maximum value of $u=mg.$
So maximum acceleration that is possible for block before it starts slipping $=\mu\text{g}=0.0\times10=3\text{ms}^{-2}.$

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