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A steel wire of length L and diameter d ...

A steel wire of length L and diameter d is placed over a massless, frictionless pulley with one end of the wire connected to a mass `m_(1)` and other end to a mass `m_(2)`. When the masses move, by how much does the wire stretch ?

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To solve the problem of how much a steel wire stretches when connected to two masses over a pulley, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Setup**: We have a steel wire of length \( L \) and diameter \( d \) over a massless, frictionless pulley. One end of the wire is connected to mass \( m_1 \) and the other end to mass \( m_2 \). 2. **Determine the Tension in the Wire**: The tension \( T \) in the wire when the masses are in motion can be calculated using the formula: \[ ...
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