Determine Speed of Block A with Fixed Winch Wheel

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SUMMARY

The speed of block A, when mounted on a fixed winch wheel with a cable winding rate of 1.5 m/s, is determined to be three times the speed of the blocks' separation. By assigning a distance of 1 meter between the blocks and measuring the total length of the rope, it is established that as the blocks are moved to 2 meters apart, the rope length increases significantly, confirming the relationship between the winch speed and block movement. This analysis is crucial for understanding mechanical systems involving winches and pulleys.

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  • Understanding of basic mechanics and kinematics
  • Familiarity with winch systems and their operational principles
  • Knowledge of pulley systems and their speed ratios
  • Ability to interpret diagrams related to mechanical setups
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Mechanical engineers, physics students, and anyone involved in the design or analysis of winch systems and pulley mechanics.

r1luher0
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in Fig., the winch cable windings T is the constant rate of 1.5m / s. if the block on which is mounted the wheel is fixed, determine the speed of block A.

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Very similar to your other https://www.physicsforums.com/showthread.php?t=383183".

Assign some distance, say 1 meter, between the blocks, then use that to measure the total length of the rope.

Then move the block to 2 meters apart and remeasure the total distance of the rope. How much did the length of the rope change compared to the distance of the block.

I think the rope moves 3 times faster than the blocks.
 
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