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

Question

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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GivenHorizontal force $$F=at$$ Coefficient of friction $$=$$μ For upper block : $$fs=ma$$​For lower block : F−$$fs=ma$$​Solving we get,​$$fs=F2$$​Relative sliding starts when fs cross the value fL.​∴$$fs=fL$$​⇒$$F2=$$μmg​⇒$$at2=$$μmg​⇒$$t=2$$μmga

A varying horizontal force $F = a t$ 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 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 varying horizontal force $F = a t$ 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