Two masses M1=5 kg and M2=10 kg are connected at the ends of an inextensible string passing ov

step 1 In this problem we have a pulley through which two masses are hung down and we have to find out

Two masses M1=5 kg and M2=10 kg are connected at the ends...

Two masses $M_{1}=5 \mathrm{~kg}$ and $M_{2}=10 \mathrm{~kg}$ are connected at the ends of an inextensible string passing over a frictionless pulley as shown. When the masses are released, then the acceleration of the masses will be
(a) $g$
(b) $g / 2$
(c) $g / 3$
(d) $g / 4$

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Key Concepts

Inextensible String

An inextensible string is one that does not stretch, meaning that its length remains constant. This property ensures that the accelerations of the connected masses are constrained in such a way that any change in one part of the string instantaneously affects the entire system, simplifying the analysis of the motion.

Newton's Second Law

Newton's second law is the principle stating that the acceleration of an object is directly proportional to the net force acting on it, and inversely proportional to its mass. This concept is fundamental for setting up the equations of motion for any system, including connected masses, by equating the net force to mass times acceleration.

Atwood Machine

An Atwood machine is a classical physics apparatus that consists of two masses connected by a string passing over a pulley. It is used to study the dynamics of motion under gravity, allowing one to analyze the acceleration of the masses based on the difference in gravitational forces acting on them.

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