Two masses of 3 kg and 5 kg are suspended from the ends of...

Two masses of $3 \mathrm{~kg}$ and $5 \mathrm{~kg}$ are suspended from the ends of an unstreatchable massless cord passing over a frictionless pulley. When the masses are released, the pressure on the pulley is (a) $2 \mathrm{~kg} \mathrm{f}$ (b) $7.5 \mathrm{~kg}$ f (c) $8 \mathrm{~kg} \mathrm{f}$ (d) $15 \mathrm{kgf}$

Two masses of $3 \mathrm{~kg}$ and $5 \mathrm{~kg}$ are suspended from the ends of an unstreatchable massless cord passing over a frictionless pulley. When the masses are released, the pressure on the pulley is
(a) $2 \mathrm{~kg} \mathrm{f}$
(b) $7.5 \mathrm{~kg}$ f
(c) $8 \mathrm{~kg} \mathrm{f}$
(d) $15 \mathrm{kgf}$

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Key Concepts

Vector Addition of Forces on the Pulley

When forces are applied from different directions on a pulley (due to the rope segments), they combine vectorially to give a net force. In the context of such systems, the net force (or contact force) on the pulley is determined by the vector sum of the tensions, which helps in understanding the pressure or force exerted on the pulley by the rope.

Frictionless, Massless Pulley Dynamics

A frictionless and massless pulley changes the direction of the tension force without altering its magnitude. This assumption allows using the same tension value on both sides of the pulley, making it easier to apply Newton's laws to the system.

Newton's Second Law

This principle states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. It is fundamental in analyzing systems where forces cause acceleration, including systems with multiple masses and pulleys.

Uniform Tension in a Massless, Inextensible Cord

In an ideal system where the cord is considered massless and inextensible, the tension throughout the rope is constant. This simplifies the analysis of the forces since the same tension acts on each mass and on different segments of the rope over a frictionless pulley.

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