A varying horizontal force F=at acts on a block of mass m kept on a smooth horizontal surface. An identical block is kept on the first block. The coefficient of friction between the blocks is μ .The time after which relative sliding between the blocks prevails is
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a
2mga
b
2μmga
c
μmga
d
2μmga
answer is B.
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Detailed Solution
GivenHorizontal force F=at Coefficient of friction =μ For upper block : fs=maFor lower block : F−fs=maSolving we get,fs=F2Relative sliding starts when fs cross the value fL.∴fs=fL⇒F2=μmg⇒at2=μmg⇒t=2μmga