The two bodies of masses m1 and m2(m1>m2) respectively are tied to the ends of a string which pa

step 1 Question is the two bodies of masses M1 in M2, M1 is related in M2 respectively, are tied to the

The two bodies of masses m1 and m2(m1>m2) respectively are...

The two bodies of masses $m_{1}$ and $m_{2}\left(m_{1}>m_{2}\right)$ respectively are tied to the ends of a string which passes over a light frictionless pulley. The masses are initially at rest and released. The acceleration of the centre of mass is (a) $\left(\frac{m_{1}-m_{2}}{m_{1}+m_{2}}\right)^{2} g$ (b) $\left(\frac{m_{1}-m_{2}}{m_{1}+m_{2}}\right) g$ (c) $g$ (d) zero

The two bodies of masses $m_{1}$ and $m_{2}\left(m_{1}>m_{2}\right)$ respectively are tied to the ends of a string which passes over a light frictionless pulley. The masses are initially at rest and released. The acceleration of the centre of mass is
(a) $\left(\frac{m_{1}-m_{2}}{m_{1}+m_{2}}\right)^{2} g$
(b) $\left(\frac{m_{1}-m_{2}}{m_{1}+m_{2}}\right) g$
(c) $g$
(d) zero

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Key Concepts

Newton’s Second Law for Systems

Newton’s Second Law can be applied to the center of mass of a system by stating that the total external force acting on the system is equal to the total mass times the acceleration of the center of mass. This principle helps simplify the analysis of complex systems by reducing it to a single net force acting on the total mass.

External Forces

External forces are those forces that act on a system from its surroundings, such as gravity. In analyzing the motion of the center of mass, only external forces matter because internal forces, like tension in the string connecting two masses, cancel out and do not affect the overall acceleration of the center of mass.

Center of Mass

The center of mass of a system of particles is the weighted average position of all the mass in the system. It acts as if all the mass of the system were concentrated at that point, and its motion is determined solely by the net external force acting on the system as a whole.

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