As shown here, in the figure, a cart C moving with acceleration 'b'. If the coefficient of friction between the block A and the cart is then what is the maximum value of 'b' so that the block A does not fall.
Sticking of a Block With Accelerated Cart -
While solving with the help of the concept of pseudo force.
When a cart moves with some acceleration toward right then a pseudo force (ma) acts on block toward left.
This force (ma) is an action force by a block on the cart.
Now block will remain static w.r.t. block. If friction force= μR≥mg
For equilibrium condition
R = ma
Pseudo force (ma) acts on block towards left
Fmin = Minimum force
amin = minimum acceleration cart
M, m are masses of the cart and block respectively
So, by using this concept -
Force acting on block A