Q.

Three blocks A, B, and C of masses 3M,2M, and M are suspended vertically with the help of springs PQ and TU, and a string RS as shown in figure. If the acceleration of blocks A, B, and C is a1, a2, and a3, respectively, thenThe value of acceleration a3 at the moment spring PQ is cut isThe value of acceleration a1 at the moment string RS is cut isThe value of acceleration a2 at the moment spring TU is cut is

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a

g, downward

b

g, upwards

c

More than g, downwards

d

Zero

e

g, downward

f

g, upwards

g

More than g, downwards

h

Zero

i

g/5 , upwards

j

g/5, downwards

k

g/3, upwards

l

Zero

answer is , , .

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Detailed Solution

Force in spring can't change abruptly whereas tension in string can change.When PQ is cut, no effect on the forces acting on C, hence its acceleration remains zero.Tension in PQ is 6 Mg before cutting RS.After cutting RS, a1=6Mg−3Mg3M=gAfter TU is cuta1=a2=6Mg−3Mg−2Mg5M=g/5Force in spring can't change abruptly whereas tension in string can change.When PQ is cut, no effect on the forces acting on C, hence its acceleration remains zero.Tension in PQ is 6 Mg before cutting RS.After cutting RS, a1=6Mg−3Mg3M=gAfter TU is cuta1=a2=6Mg−3Mg−2Mg5M=g/5Force in spring can't change abruptly whereas tension in string can change.When PQ is cut, no effect on the forces acting on C, hence its acceleration remains zero.Tension in PQ is 6 Mg before cutting RS.After cutting RS, a1=6Mg−3Mg3M=gAfter TU is cuta1=a2=6Mg−3Mg−2Mg5M=g/5
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