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

Newton’s Third Law of Motion: Action-Reaction Pairs & Internal vs External Forces | JEE Physics Class 11

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Concept Card: Newton’s Third Law of Motion & Action-Reaction Pairs 1. Formal Statement of Newton’s Third Law: To every action, there is always an equal and opposite reaction; or the mutual interactions of two bodies upon each other are always equal in magnitude and directed along opposite directions. Vector representation: $$\vec{F}_{AB} = -\vec{F}_{BA}$$ where $\vec{F}_{AB}$ … Read more

Linear Momentum & Newton’s Second Law of Motion: Impulse & Variable Mass | JEE Physics Class 11

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Concept Card: Linear Momentum & Newton’s Second Law of Motion 1. Linear Momentum ($\vec{p}$): The linear momentum $\vec{p}$ of a body of mass $m$ moving with velocity $\vec{v}$ is defined as: $\vec{p} = m\vec{v}$ – Vector quantity; directed along the velocity vector $\vec{v}$. – SI unit: $\text{kg}\cdot\text{m/s}$ or $\text{N}\cdot\text{s}$. Dimensions: $[M L T^{-1}]$. Relation with … Read more

Force, Inertia & Newton’s First Law of Motion: Inertial Frames & Equilibrium | JEE Physics

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Concept Card: Force, Inertia & Newton’s First Law of Motion 1. Physical Definition and Nature of Force: A force is an external vector interaction (push or pull) that changes or tends to change an object’s state of rest or of uniform rectilinear motion, or causes deformation. Forces in nature are classified fundamentally into four categories: … Read more