Three blocks of masses 3 kg, 6 kg and 1 kg are connected by a string passing over two smooth

step 1 Hello everyone. A block A of mass 7 KG, so let M1 is equal to 7 KG, is placed on a frictionless

Three blocks of masses 3 kg, 6 kg and 1 kg are connected...

Three blocks of masses $3 \mathrm{~kg}, 6 \mathrm{~kg}$ and $1 \mathrm{~kg}$ are connected by a string passing over two smooth pulleys attached at the two ends of a frictionless horizontal surface. The acceleration of $3 \mathrm{~kg}$ mass is (Figure can't copy) (a) $1 \mathrm{~ms}^{-2}$ (b) $2 \mathrm{~ms}^{-2}$ (c) $3 \mathrm{~ms}^{-2}$ (d) $4 \mathrm{~ms}^{-2}$

Three blocks of masses $3 \mathrm{~kg}, 6 \mathrm{~kg}$ and $1 \mathrm{~kg}$ are connected by a string passing over two smooth pulleys attached at the two ends of a frictionless horizontal surface. The acceleration of $3 \mathrm{~kg}$ mass is
(Figure can't copy)
(a) $1 \mathrm{~ms}^{-2}$
(b) $2 \mathrm{~ms}^{-2}$
(c) $3 \mathrm{~ms}^{-2}$
(d) $4 \mathrm{~ms}^{-2}$

Key Concepts

Pulley Systems

Pulleys are used to change the direction of the force transmitted by a string. In ideal pulley systems, the pulleys are smooth and frictionless, which means they do not alter the tension in the string or dissipate energy, allowing for straightforward application of Newton’s laws.

Constraint Relations in Connected Systems

When objects are connected by ropes or strings, their accelerations and displacements are linked by geometrical constraints. Understanding these relationships is crucial for correctly relating the forces and accelerations of different masses in the system.

Free-Body Diagrams

These diagrams are used to visually represent all forces acting upon each object in a system. They are essential for setting up equations of motion in problems involving multiple bodies connected by ropes or pulleys.

Newton's Second Law

This principle states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. It forms the basis for analyzing how forces result in acceleration in any mechanical system.

Tension in Strings

In many mechanical systems, especially those involving pulleys, the string or rope transmits force from one mass to another. When the string is considered massless and inextensible, the tension remains uniform throughout its length, simplifying the analysis.

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