A body of mass 6 kg is hanging from another body of mass 10 kg as shown in fig. This combinati

Step 1: We are given that the total mass of the system is $16 mathrm{~kg}$ (the sum of the two b

A body of mass 6 kg is hanging from another body of mass 10...

A body of mass $6 \mathrm{~kg}$ is hanging from another body of mass $10 \mathrm{~kg}$ as shown in fig. This combination is being pulled up by a string with an acceleration of $2 \mathrm{~ms}^{-2}$. the tension $\mathrm{T}_{1}$ is $\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)$ (A) $240 \mathrm{~N}$ (B) $150 \mathrm{~N}$ (C) $220 \mathrm{~N}$ (D) $192 \mathrm{~N}$

A body of mass $6 \mathrm{~kg}$ is hanging from another body of mass $10 \mathrm{~kg}$ as shown in fig. This combination is being pulled up by a string with an acceleration of $2 \mathrm{~ms}^{-2}$. the tension $\mathrm{T}_{1}$ is $\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)$
(A) $240 \mathrm{~N}$
(B) $150 \mathrm{~N}$
(C) $220 \mathrm{~N}$
(D) $192 \mathrm{~N}$

Key Concepts

Tension in Strings

Tension refers to the force conducted along a rope or string when it is pulled tight by forces acting from opposite ends. In problems involving connected bodies, such as one mass hanging from another, understanding how to analyze the tension in different segments of the rope is essential to correctly applying Newton's Second Law to each component of the system.

Newton's Second Law

Newton's Second Law establishes that the net force acting on an object equals the mass of the object multiplied by its acceleration. This principle is central in analyzing problems involving forces, as it allows one to set up equations that relate the applied forces, such as tension and gravitational force, to the mass and acceleration of each body in the system.

Free Body Diagram

A free body diagram is a graphical representation used to visualize all the forces acting upon a single object. By isolating a body and depicting forces such as gravity, tension, and any applied forces, one can effectively apply Newton's laws to derive the necessary equations for solving for unknown quantities like acceleration or tension.

Connected Systems and Force Distribution

When bodies are connected, the forces acting on one body directly affect the motion of the other. In these systems, solving for an unknown force, such as the tension, involves carefully considering the cumulative effect of both gravitational forces and any external acceleration. This requires setting up simultaneous equations based on the individual free body diagrams of each component in the system.

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