The system in Fig. is released from rest from the position shown. After blocks have moved distance H//3. collar B is removed and block A and C continue to move. The speed of C just before it strikes the ground is

The system in Fig. is released from rest from the position shown. Afte

1.	The system in Fig. is released from rest from the position shown. After blocks have moved distance H//3. collar B is removed and block A and C continue to move. The speed of C just before it strikes the ground is
Answer» `4/3sqrt(gH)` `2(SQRT(gH))/3` `sqrt((13gH))/3` `2sqrt(2gH)` Solution :Initial acceleration of the system before the collar is removed. `a_(1)=(2mg)/(3m)=(2g)/3` velocity at the TIME when the collar is removed: `v_(1)=sqrt(2a_(1)H/3)` Acceleration after the collar is removed `a_(2)=(MG)/(2m)=g/2` Final velocity `=v_(2)^(2)=v_(1)^(2)+2a_(2)H` `=(2a_(1)H)/3+(2g)/2H=2/3 (2g)/3H+gH` `implies v_(2)=sqrt((13gH)/3`