A cord of negligible mass is w L01 a flywheel of mass 20 kg and radius 20 cm. A steady pull of

step 1 In this question it is told that a cord of negligible mass is wound around the rim of a flywheel

A cord of negligible mass is w L01 a flywheel of mass 20 kg...

A cord of negligible mass is w L01 a flywheel of mass $20 \mathrm{~kg}$ and radius $20 \mathrm{~cm}$. A steady pull of $25 \mathrm{~N}$ is applied on the cord. The work done by the pull when $2 \mathrm{~m}$ of the cord is unwound is (a) $20 \mathrm{~J}$ (b) $25 \mathrm{~J}$ (c) $45 \mathrm{~J}$ (d) $50 \mathrm{~J}$

A cord of negligible mass is w L01
a flywheel of mass $20 \mathrm{~kg}$ and radius $20 \mathrm{~cm}$. A steady pull of $25 \mathrm{~N}$ is applied on the cord. The work done by the pull when $2 \mathrm{~m}$ of the cord is unwound is
(a) $20 \mathrm{~J}$
(b) $25 \mathrm{~J}$
(c) $45 \mathrm{~J}$
(d) $50 \mathrm{~J}$

Key Concepts

Work Done

Work done is the energy transferred when a force is applied over a distance. In mechanics, it is calculated as the product of the force component in the direction of displacement and the magnitude of that displacement, reflecting how much energy is imparted to or removed from an object.

Force

Force is an influence that causes an object with mass to undergo acceleration. It is a vector quantity that has both magnitude and direction, determining how strongly an object is pushed or pulled, and plays a central role in the calculation of work done.

Displacement

Displacement is the measure of the change in position of an object, represented as a vector quantity. In work calculations, only the component of the displacement that is parallel to the applied force is considered, which determines the effective distance over which the force acts.

Work-Energy Principle

The work-energy principle states that the net work done on an object is equal to its change in kinetic energy. This fundamental concept links the application of forces to the resulting motion, whether the motion is translational or rotational.

Rotational Dynamics

Rotational dynamics describes how torques affect the rotational motion of objects. It involves relationships between torque, moment of inertia, and angular acceleration, and is essential for understanding how forces applied at a distance from an axis induce rotational motion.

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