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Mechanical Advantage Pulley Calculator

Mechanical Advantage Formula:

\[ MA = \text{Number of Supporting Ropes} \]

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1. What is Mechanical Advantage of a Pulley?

The mechanical advantage (MA) of a pulley system is the factor by which it multiplies the force applied to it. It equals the number of supporting ropes in the system.

2. How Does the Calculator Work?

The calculator uses the simple formula:

\[ MA = \text{Number of Supporting Ropes} \]

Where:

Explanation: Each supporting rope shares the load equally, so the force needed is the total load divided by the number of ropes.

3. Importance of Mechanical Advantage

Details: Mechanical advantage determines how much easier a pulley system makes lifting a load. Higher MA means less force is needed but more rope must be pulled.

4. Using the Calculator

Tips: Count only the ropes that are supporting the load (attached to the moving pulley). The rope you pull on counts if it's supporting the load.

5. Frequently Asked Questions (FAQ)

Q1: Does the rope you pull count as a supporting rope?
A: Yes, if it's attached to the moving pulley and supporting the load. If it's just being pulled downward, it doesn't count.

Q2: What's the maximum MA possible with pulleys?
A: In theory unlimited, but practical systems rarely exceed MA of 6 due to friction and complexity.

Q3: How does friction affect MA?
A: Friction reduces the actual MA from the ideal value calculated here. More pulleys mean more friction.

Q4: What's the difference between fixed and movable pulleys?
A: Fixed pulleys change direction only (MA=1). Movable pulleys provide mechanical advantage (MA=2 per movable pulley in simple systems).

Q5: How does MA relate to work?
A: While MA reduces the force needed, the total work (force × distance) remains the same - you pull more rope for less force.

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