First slide

Friction on horizontal surface

Question

The minimum acceleration that must be imparted to the cart in fig., so that the block A will not fall,
given µ is the coefficient between the surfaces of block and cart

Easy

A

µ g
B

g/µ
C

g/√µ
D

µ/g

Solution

The fictitious force on block A that presses the cart back is given by m a.
The upward friction F = µ m a
For block A to be stationary,
µ m a=mg
a = (g/µ).

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