1. What is Tension in Hanging String?

Tension in a hanging string is the force exerted by the string when two bodies are connected and hanging freely. It represents the pulling force transmitted through the string when the system is in equilibrium under gravity.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( m_a \) — Mass of Body A (kg)
• \( m_b \) — Mass of Body B (kg)
• \( g \) — Gravitational acceleration (9.80665 m/s²)

Explanation: This formula calculates the tension in a string connecting two freely hanging bodies of different masses under the influence of gravity.

3. Importance of Tension Calculation

Details: Calculating tension is crucial for understanding mechanical systems, designing safe structures, and analyzing forces in pulley systems and hanging objects.

4. Using the Calculator

Tips: Enter the masses of both bodies in kilograms. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why does the formula use gravitational acceleration?
A: Gravitational acceleration (g) is necessary because tension results from the gravitational force acting on the masses.

Q2: What happens if both masses are equal?
A: When masses are equal, the formula simplifies to Tension = m × g, where m is the mass of either body.

Q3: Can this formula be used for any hanging configuration?
A: This specific formula applies to two bodies connected by a string and hanging freely under gravity.

Q4: What are the units of tension?
A: Tension is measured in Newtons (N) in the SI system, which is equivalent to kg·m/s².

Q5: Does air resistance affect the tension calculation?
A: This formula assumes ideal conditions without air resistance. In real-world applications with significant air resistance, additional factors may need consideration.