Masses of and are connected by an upper light

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

Masses of

8\,\text{kg}

and

3\,\text{kg}

are connected by an upper light, inextensible string that passes over a smooth pulley. A second light string is attached to the

3\,\text{kg}

mass and carries a

2\,\text{kg}

mass so that it hangs vertically below the

3\,\text{kg}

mass. The system is released from rest. (i) Find the magnitude of the common acceleration of the masses. (ii) Calculate the tension in the upper string between the

8\,\text{kg}

and

3\,\text{kg}

masses.

Related theory

Newton's Second Law & Dynamics
Common Forces in Mechanics
Free-Body Diagrams
Forces and free-body diagrams
Connected bodies and free body diagrams
Laws of Motion
Solving problems in mechanics

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