Three masses 1 kg, 6 kg and 3 kg are connected to each other with threads and are placed on a

step 1 So from the given diagram I can write the expression as m3a is equal to m3g minus t2 and M2a is

Three masses 1 kg, 6 kg and 3 kg are connected to each...

Three masses $1 \mathrm{~kg}, 6 \mathrm{~kg}$ and $3 \mathrm{~kg}$ are connected to each other with threads and are placed on a table as shown in figure. The acceleration with which the system is moving is $\mathrm{ms}^{-2}\left(\mathrm{~g}=10 \mathrm{~ms}^{-2}\right)$ $\begin{array}{lll}\text { (A) zero } & \text { (B) } 1 & \text { (C) } 2\end{array}$ (D) 3

Three masses $1 \mathrm{~kg}, 6 \mathrm{~kg}$ and $3 \mathrm{~kg}$ are connected to each other with threads and are placed on a table as shown in figure. The acceleration with which the system is moving
is $\mathrm{ms}^{-2}\left(\mathrm{~g}=10 \mathrm{~ms}^{-2}\right)$
$\begin{array}{lll}\text { (A) zero } & \text { (B) } 1 & \text { (C) } 2\end{array}$
(D) 3

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Key Concepts

Newton's Second Law

Newton's Second Law states that the net external force acting on a body or system is equal to the mass of the body multiplied by its acceleration. This principle underpins the analysis of forces in any dynamic problem and is used to determine acceleration when the net force and total mass are known.

System Acceleration in Connected Bodies

When analyzing systems of connected bodies, the acceleration of the entire system is determined by the resultant external force divided by the total mass of the system. The constraint that the bodies are connected means that they share a common acceleration, which simplifies the analysis by allowing a treatment of the system as a single object.

Internal Forces Cancellation

In a system where bodies are connected, the internal forces, such as tensions in the connecting threads, occur in equal and opposite pairs according to Newton's Third Law and thus cancel out when considering the net force on the entire system. This simplifies the calculation of the system's acceleration by focusing only on the external forces affecting the whole system.

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