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Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be?
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Two weights w1 and w2 are suspended from the ends of a light string pa...
Analysis of Tension in the String
The tension in the string can be analyzed by considering the forces acting on the two weights w1 and w2.
For Weight w1:
- The weight w1 will experience a downward force of mg.
- The tension in the string acting upward will be T1.
- The net force acting on w1 will be T1 - mg.
For Weight w2:
- The weight w2 will experience a downward force of mg.
- The tension in the string acting upward will be T2.
- The net force acting on w2 will be T2 - mg.
When the Pulley is Pulled Up:
- The pulley is being pulled up at an acceleration g.
- This means that the net force acting on the system is m(g + g) = 2mg.
- This net force is shared by the tensions T1 and T2 acting on weights w1 and w2.
Calculating Tension T1 and T2:
- From the analysis, we have T1 - mg + T2 - mg = 2mg.
- Therefore, T1 + T2 = 4mg.
- Since the system is in equilibrium, T1 = T2 = 2mg.
Conclusion:
- The tension in the string, T1 and T2, when the pulley is pulled up at an acceleration g, will be 2mg.
The tension in the string can be analyzed by considering the forces acting on the two weights w1 and w2.
For Weight w1:
- The weight w1 will experience a downward force of mg.
- The tension in the string acting upward will be T1.
- The net force acting on w1 will be T1 - mg.
For Weight w2:
- The weight w2 will experience a downward force of mg.
- The tension in the string acting upward will be T2.
- The net force acting on w2 will be T2 - mg.
When the Pulley is Pulled Up:
- The pulley is being pulled up at an acceleration g.
- This means that the net force acting on the system is m(g + g) = 2mg.
- This net force is shared by the tensions T1 and T2 acting on weights w1 and w2.
Calculating Tension T1 and T2:
- From the analysis, we have T1 - mg + T2 - mg = 2mg.
- Therefore, T1 + T2 = 4mg.
- Since the system is in equilibrium, T1 = T2 = 2mg.
Conclusion:
- The tension in the string, T1 and T2, when the pulley is pulled up at an acceleration g, will be 2mg.
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Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be?
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Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be?.
Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be?.
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