Daily Concept Review

Gravitational & Elastic Potential Energy of a Spring: Formulations & Energy Graphs | JEE Physics Class 11

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Concept Card: Gravitational & Elastic Potential Energy & Potential Curves 1. Fundamental Concept of Potential Energy ($U$): Potential energy is the configuration energy possessed by a system of interacting particles by virtue of their positions or internal strain relative to each other within a conservative field. Exclusive to Conservative Forces: Potential energy is strictly undefined … Read more

Work-Energy Theorem for Constant & Variable Forces | JEE Physics Class 11

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Concept Card: Work-Energy Theorem for Constant & Variable Forces 1. Statement & Universal Scope of the Work-Energy Theorem (WET): The net work done by all external and internal forces acting on a body (or system of bodies) equals the total change in its kinetic energy: $$\mathbf{W_{\text{net}} = \Delta K = K_f – K_i = \frac{1}{2}m … Read more

Work Done by Constant & Variable Forces & Kinetic Energy | JEE Physics Class 11

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Concept Card: Work Done by Constant & Variable Forces & Kinetic Energy 1. Physical Definition of Mechanical Work: Work is done by a force when its point of application undergoes a displacement having a non-zero component along the line of action of the force. Work Done by a Constant Force ($\vec{F}$): Defined as the scalar … Read more

Laws of Motion Full Chapter Test & Comprehensive Mastery Review | JEE Physics Class 11

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Concept Card: Unit 3 (Laws of Motion) Comprehensive Mastery Cheat Sheet 1. Fundamental Laws & Momentum Dynamics: Newton’s First Law: $\sum \vec{F}_{\text{ext}} = \vec{0} \iff \vec{a} = \vec{0} \iff \vec{v} = \text{constant}$. Establishes mass $m$ as the quantitative measure of translational inertia and defines inertial frames of reference. Newton’s Second Law: $\vec{F}_{\text{net}} = \frac{d\vec{p}}{dt} = … Read more

Centrifugal Force & Pseudo Forces in Rotating Reference Frames | JEE Physics Class 11

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Concept Card: Centrifugal Force & Pseudo Forces in Rotating Frames 1. Non-Inertial Frames & Origin of Pseudo Forces: In an inertial reference frame, Newton’s Second Law applies directly ($\sum \vec{F}_{\text{real}} = m\vec{a}$). In a non-inertial reference frame translating with acceleration $\vec{a}_0$, an observer must introduce a fictitious (pseudo) force to apply Newton’s laws: $$\vec{F}_{\text{pseudo}} = … Read more

Dynamics of Uniform Circular Motion: Centripetal Force & Banking of Roads | JEE Physics Class 11

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Concept Card: Dynamics of Uniform Circular Motion & Banking of Roads 1. Centripetal Acceleration & Centripetal Force ($F_c$): A particle of mass $m$ executing uniform circular motion of radius $r$ at speed $v$ (angular speed $\omega = \frac{v}{r}$) experiences a continuous inward radial acceleration: $a_c = \frac{v^2}{r} = \omega^2 r = v\omega$ By Newton’s Second … Read more

Angle of Friction, Angle of Repose & Motion on a Rough Inclined Plane | JEE Physics Class 11

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Concept Card: Angle of Friction, Angle of Repose & Rough Incline Dynamics 1. Resultant Contact Force & Angle of Friction ($\lambda$): The angle of friction ($\lambda$) is defined as the angle made by the total resultant contact force $\vec{R}$ with the normal force $\vec{N}$ at the verge of impending relative sliding (limiting equilibrium): $$\vec{R} = … Read more

Friction in Mechanics: Static, Kinetic & Rolling Friction, Laws & Contact Forces | JEE Physics Class 11

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Concept Card: Friction in Mechanics – Static, Kinetic & Rolling Friction 1. Physical Origin and Nature of Frictional Forces: Friction is an electromagnetic contact interaction arising from microscopic surface irregularities (asperities) and cold-welding (intermolecular bonding) at real microscopic points of contact. – Real contact area ($A_{\text{real}}$) is a minute fraction of the macroscopic apparent area … Read more

Pulley Systems & Atwood Machines: Constrained Motion & String Constraints | JEE Physics Class 11

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Concept Card: Pulley Systems & Atwood Machines 1. The Ideal Pulley-String Model: Ideal Pulley: Massless ($m_p = 0$), moment of inertia zero ($I = 0$), and frictionless ($\mu = 0$). Consequence: Tension in the cord passing over an ideal pulley is completely uniform on both sides ($T_1 = T_2 = T$). Net force on a … Read more

Free Body Diagrams (FBD): Construction & Connected Body Mechanics | JEE Physics Class 11

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Concept Card: Free Body Diagrams (FBD) & Connected Body Mechanics 1. Free Body Diagram (FBD) – Principles & Construction Algorithm: A Free Body Diagram is an isolated sketch of a chosen body (or subsystem) where all surrounding objects are removed, and every external force acting on the body is explicitly drawn as a vector. Isolate … Read more