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# a plank of mass 2kg and length 1m is placed on horizontal floor, a small block of mass 1kg is placed o top of the plank,at its extreme end. the co efficient of friction between plank and floor is 0.5 and that between plank and block is 0.2 .if a horizontal force=30N starts acting on the plank to right,the time after which,the block will fall off the plank?

Grade:Upto college level

## 1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear akash

let at time t small block cover a distance x

and for amall block to fall plank must cover (x+1) m in time t

accelarion of small block=2/1 =2

acceleration of plank =(30-15-2)/2 =13/2

so x= 1/2 *a1 *t2   =   t2 .................1

and

x+1 =1/2 *a2*t2

put value of x from equation 1

t2 +1 =1/2 *a2*t2

t=2/3 sec

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