In the adjacent figure, the spring balance and string are...

In the adjacent figure, the spring balance and string are massless and the pulley is ideal. The reading of spring balance will be
(a) $2 \mathrm{~kg}$
(b) $3 \mathrm{~kg}$
(c) $2.5 \mathrm{~kg}$
(d) 7 cro

Key Concepts

Spring Balance Reading

A spring balance measures force based on the extension of a spring, as described by Hooke's Law. In the context of a pulley system, the reading on the spring balance directly corresponds to the tension in the string. Understanding this relationship is crucial for interpreting experimental data and verifying theoretical predictions in mechanics.

Newton's Laws of Motion

Newton's Laws, particularly the second law which relates force, mass, and acceleration, provide the foundation for analyzing the dynamics of the system. These laws allow for the formulation of equations of motion that help predict how forces are balanced in static or dynamic systems, ensuring that the results, such as the reading of the spring balance, are consistent with the underlying physics.

Massless and Frictionless Assumptions

The assumptions of a massless string and an ideal (frictionless) pulley simplify the analysis by ensuring that no additional forces or energy losses occur within these components. This means that the entire force applied is transmitted directly, without modification, which is essential for correctly calculating quantities like tension and acceleration.

Tension in a String

Tension is the force transmitted through a string when it is pulled tight by forces acting at either end. In an ideal situation, such as with a massless string, the tension is assumed to be uniform throughout, making it a key factor in analyzing systems involving pulleys and attached masses.

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