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
2ms^-2
B
3ms^-2
C
4ms^-2
D
5ms^-2

✓

Answer

3ms^-2

Explanation:

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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