Three equal weight A, B and C of mass 2 kg each are hanging on a string passing over a fixed fr

step 1 Hello students in this question we have three equal weights a b c having mass m equals to 2 kg e

Three equal weight A, B and C of mass 2 kg each are hanging...

Three equal weight $A, B$ and $C$ of mass $2 \mathrm{~kg}$ each are hanging on a string passing over a fixed frictionless pulley as shown in the figure. The tension in the string connecting weight $B$ and $C$ is
(a) zero
(b) $13 \mathrm{~N}$
(c) $3.3 \mathrm{~N}$
(d) $19.6 \mathrm{~N}$

Key Concepts

Newton's Second Law

This principle states that the net force acting on an object is equal to the product of its mass and its acceleration. In problems involving multiple bodies, such as those connected by strings over pulleys, Newton’s Second Law is used to write equations of motion for each body based on the forces acting on them, which include gravitational forces and tensions.

Tension in Pulley Systems

In a system with a frictionless pulley, the tension in a continuous, massless string is usually the same throughout a single segment; however, when there are additional strings or branches connecting different masses, the tension in each segment may differ. Understanding how tensions distribute in such systems is essential for correctly setting up and solving the equations of motion.

Inextensible String Constraints

The assumption that strings are inextensible means that the accelerations of connected masses are related by geometric constraints. This requires carefully relating the accelerations and displacements of different parts of the system, so that the motion of one mass directly affects the others through the connection provided by the string.

Free-Body Diagram Analysis

Drawing free?body diagrams for each mass helps to visually identify all the forces acting on them, including weight, tension, and any other relevant forces. This step is crucial in modeling the system accurately and in setting up the correct equations based on Newton’s Second Law.

Transcript

Please give Ace some feedback