To determine the velocity ratio (V.R.) of the pulley system, we need to analyze the arrangement of the pulleys. For a pulley system, the V.R. can be calculated based on the number of rope sections supporting the load and the arrangement of the fixed and movable pulleys.
Here, you have:
- 3 fixed pulleys
- 2 movable pulleys
Velocity Ratio Calculation:
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Fixed Pulleys: Fixed pulleys do not provide any mechanical advantage themselves, but they change the direction of the force applied. They do not contribute to the actual increase in effort reduction in this context.
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Movable Pulleys: Each movable pulley effectively doubles the amount of load that can be lifted for a given effort. Therefore, each movable pulley contributes 2 to the V.R.
For a system with \( n \) movable pulleys, the contribution will be \( 2n \).
- Here, you have 2 movable pulleys, so their contribution to V.R. will be \( 2 \times 2 = 4 \).
- Total V.R.: Since the fixed pulleys do not change the V.R. numerically, the total V.R. is the sum of the contributions from the movable pulleys.
Thus, the overall Velocity Ratio \( V.R. \) for the system will be:
\[ V.R. = 4 \]
In summary, the velocity ratio of this pulley system with 3 fixed pulleys and 2 movable pulleys is 4.