First slide
Friction on horizontal surface
Question

A block of mass m is in contact with the cart C as shown in the Figure. The coefficient of static friction between the block and the cart is μ. The acceleration s of the cart that will prevent the block from falling satisfies :

Moderate
Solution

FBD of block w.r.t. cart
Here, f = mg and N = mα
But fμN, so mgμmα
αgμ

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