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Jayesh Arun Kadam Grade: 12
        

Figure shows a small block of mass m kept at the left end of a larger block of mass M and length l.


The system can slide on a horizontal road. The system is started towards right with an intial velocity v. The friction coefficient between the road and the bigger block is µ and that between the blocks is µ/2.


Find the time elapsed before the smaller block separates from the bigger block.

6593-148_7199_Picture1.png
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear jayesh


 


6611-315_7662_untitled.JPG


N1=mg


N2=(m+m)g


a1=-μ/2 N1/m


   =-μg/2


a2=(μN1/2 -μN2)/M


    =(μmg/2 -μ(m+m)g)/M


initial velocity of smaller block with respect to biggere =v-v =0


acceleration of smaller block w.r.t bigger = a1-a2


so smaller block sepeate


 S=l =0*t +1/2 (a1-a2) t2 


t2 =2l/(a1-a2)


put value of a1 and a2


and find t


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Badiuddin


 

7 years ago
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