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A small block of mass m is placed over a long plank of mass M. Coefficient of friction between them is μ. Ground is smooth. At t=0, m is given a velocity v1 and M a velocity v2(>v1) as shown in the figure. After this M is maintained at constant acceleration a(<μg).Find the time t0 when velocities of both block and plank become same.

Answer»

A small block of mass m is placed over a long plank of mass M. Coefficient of friction between them is μ. Ground is smooth. At t=0, m is given a velocity v1 and M a velocity v2(>v1) as shown in the figure. After this M is maintained at constant acceleration a(<μg).



Find the time t0 when velocities of both block and plank become same.




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