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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?
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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Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation.
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