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Three blocks A,B and C of mass m,m/2 and m of different densilties and dimensions are placed over each other as shown in the figure. The cofficients of friction are shown. Blocks placed in a vertical line are mae to over towards right with same velcity at the same instant. Find the time (in sec) taken by the upper block A to topple from the middle blcok B. Assume that blocks B and C don't stop sliding before A topples from B. (given L=36m,mu=0.4 and g=10 m//s^(2)) |
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Answer» `:.f=(mu)/4mg` `:.a_(A)=(mug)/4` leftward ![]() `f^(')=(mu)/2(m+m/2)g=3/4mumg` `:.a_(B)=mug` (leftward) ltbgt `:.a_(A//B)=3/4 mug` (rightward) For sliding down the block `B, A` has to move a distance `(3L)/8` relative to block `B`. `(3L)/8= 1/2 3/4 mu"gt"^(2)` `:.t=sqrt(l/(mug))=3` SEC |
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