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Q.

For the system shown in the figure, m1>m2>m3>m4. Initially, the system is at rest in equilibrium condition. If the string joining m4 and ground is cut, then just after the string is cut. Statement I: m1,m2,m3 remain stationary.Statement II: The value of acceleration of all the four blocks can be determined.Statement III: Only m4 remains stationary.Statement IV: Only m4 accelerates.Now, choose the correct options.

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a

All the statements are correct.

b

Only I, II, and IV are correct.

c

Only I and II are correct.

d

Only II and IV are correct.

answer is B.

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Detailed Solution

Before cutting the string, the tension in string joining m4 and ground is T=m1+m2−m3−m4gAnd the spring force in the spring joining m3 and m4 is T+m4g. . As the string is cut, the spring forces do not change instantly, so just after cutting the string the equilibrium of m1,m2 and m3, would be maintained but ma accelerates in upward direction with acceleration given bya=m1+m2−m3−m4gm4
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For the system shown in the figure, m1>m2>m3>m4. Initially, the system is at rest in equilibrium condition. If the string joining m4 and ground is cut, then just after the string is cut. Statement I: m1,m2,m3 remain stationary.Statement II: The value of acceleration of all the four blocks can be determined.Statement III: Only m4 remains stationary.Statement IV: Only m4 accelerates.Now, choose the correct options.