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 :
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a
α
b
α>mgμ
c
α>gμm
d
α≥gμ
answer is D.
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Detailed Solution
FBD of block w.r.t. cartHere, f = mg and N = mαBut f≤μN, so mg≤μmα⇒α≥gμ