As shown here, in the figure, a cart C with mass M moving with acceleration 'b'. If the coefficient of friction between the block A having mass m and the cart is μ, then, acceleration of cart and block system is independent of:
g
M
m
Both b) and c)
If the cart is accelerated with 'b'
Pseudo force on mass
Force of friction = μN
For horizontal equilibrium F=N
f=μmb
The block will not fall as long as f ≥ mg
μmb ≥ mg
b ≥ g/μ
Hence d is the correct answer.
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