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Q.
In the diagram strings, springs and the pulley are light and ideal. The system is in equilibrium with the strings taut (T > 0), match the column. Masses are equal.
Column -1 | Column -2 | ||
(A) | Just after string W breaks | (P) | aA=0 |
(B) | Just after spring X breaks | (Q) | aB=0 |
(C) | Just after string Y breaks | (R) | aC=0 |
(D) | Just after spring Z breaks | (S) | aB=aC |
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a
A-p,r,s; B-r,s ;C-p; D-p,s
b
A-q,r,s; B-s; C-p; D-p,s
c
A-q,r,s; B-p; C-s; D-s
d
A-q,r,s; B-s; C-p,r ; D-p,s
answer is A.
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Detailed Solution
Explanation of the Problem:
The system involves two springs and several strings, with masses equal. The task is to match the conditions after different strings or springs break.
Step-by-Step Solution:
- Understanding the System:
- The system is in equilibrium with taut strings.
- When a string or spring breaks, the equilibrium will be disturbed, and the accelerations of the blocks will change.
- What happens when a string or spring breaks?
- String W breaks:
- If string W breaks, block B becomes unbalanced and its acceleration will be zero (aA = 0).
- Spring X breaks:
- If spring X breaks, the forces on block B change, resulting in its acceleration becoming zero (aB = 0).
- String Y breaks:
- When string Y breaks, block C loses support and its acceleration will be zero (aC = 0).
- Spring Z breaks:
- If spring Z breaks, blocks B and C will experience equal accelerations (aB = aC).
- String W breaks:
Final Matching:
- (A) Just after string W breaks → (Q) aB = 0
- (B) Just after spring X breaks → (R) aC = 0
- (C) Just after string Y breaks → (P) aA = 0
- (D) Just after spring Z breaks → (S) aB = aC
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