Pulleys & Constraints
In the system shown, the pulley and string are ideal. If the acceleration of block A (mass m) is a upwards, find the acceleration of block B (mass 2m).
Pulley System
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About This Question
- Subject
- physics
- Chapter
- laws of motion
- Topic
- pulleys & constraints
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
a
- Ideal String Property: For an inextensible (ideal) string of length L, the rate of change of length is zero.
- Constraint Relation: If block A moves upwards by a distance xA, the string on its side shortens. To keep the total length constant, the string on block B's side must lengthen by exactly xA.
- Velocity and Acceleration: Differentiating once gives vA=vB. Differentiating again gives aA=aB.
- Conclusion: If block A has acceleration a upwards, block B must have acceleration a downwards (to maintain tension and string length).
This easy difficulty physics question is from the chapter laws of motion, covering the topic of pulleys & constraints. It appeared in the 2025 exam.
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