1. What is Tension in Freely Suspended String?

Tension in a freely suspended string is the force exerted by the string on the hanging object, opposing its weight, and keeping it in equilibrium. This calculation is essential in physics for understanding systems with suspended masses.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Tfs \) — Tension in freely suspended string (N)
• \( m1 \) — Mass of left body (kg)
• \( m2 \) — Mass of right body (kg)
• \( [g] \) — Gravitational acceleration (9.80665 m/s²)

Explanation: This formula calculates the tension in a string when two masses are connected over a pulley, with one body freely suspended.

3. Importance of Tension Calculation

Details: Accurate tension calculation is crucial for analyzing mechanical systems, designing structures with suspended loads, and understanding force distributions in pulley systems.

4. Using the Calculator

Tips: Enter both masses in kilograms. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for mass inputs?
A: Mass should be entered in kilograms (kg) for accurate tension calculation in newtons.

Q2: Does this formula assume a frictionless pulley?
A: Yes, this standard formula assumes an ideal frictionless pulley system for simplified calculations.

Q3: What if both masses are equal?
A: When m1 = m2, the tension becomes Tfs = (m²/2m)*g = (m/2)*g, which is half the weight of one mass.

Q4: Can this be used for vertical suspension systems?
A: Yes, this formula applies to systems where masses are connected over a pulley with vertical suspension.

Q5: What are the limitations of this formula?
A: This formula assumes ideal conditions: massless string, frictionless pulley, and no air resistance. Real-world applications may require adjustments.