Formula Sheet: Newton’s Laws of Motion Class 11 Yashwant Parihar, April 26, 2026April 26, 2026 In this post, we will learn all the formulas of Newton’s laws of motion, Chapter 4, Class 11. Newton’s Laws of Motion formula sheet, including essential shortcuts for Free Body Diagrams (FBD), pseudo forces, and banking of roads. Whether you are a Class 11 student or a JEE/NEET aspirant, this guide is designed to make your revision fast and effective.Formula Sheet: Newton’s Laws of Motion (NLM)1. The Three Laws of MotionNewton’s First Law: If ∑ F = 0, then v = constant.Newton’s Second Law: The force is the rate in the momentum.F=dpdtF = \frac{dp}{dt}If mass is constant, F = maNewton’s Third Law: For every action, there is an equal and opposite reaction.FAB=−FBAF_{AB} = -F_{BA}2. Linear Momentum & ImpulseLinear Momentum:p=mvp = mvImpluse (J):J=Δp=Favg.Δt=∫FdtJ = \Delta{p} = F_{avg}.\Delta{t} = \int Fdt3. Common Forces in MechanicsWeight (W):W=mgW = mgNormal Force: Perpendicular to the surface. On a Flat surface, N = mg. On an inclined surface, N = mgcosθTension: Acts along the string, always pulling away from the object.Spring Force:Fs=−Kx(Hooke′slaw)F_s = -Kx (Hooke’s\:law)4. Friction (The Trickiest Part)Static Friction: μsN≥ fs (Self-adjusting force)Kinetic Friction: fk = μkN (Acts when there is a relative motion).Angle of Friction: tan λ = μAngle of Repose: tan-1 (μ)5. Pulley & Constraint MotionAcceleration of two masses (m1, m2) in Atwood’s Machine:α=(m2−m1)gm1+m2\alpha = \frac {(m_2-m_1)g}{m_1 + m_2}Tension in the string:T=2m1m2gm1+m2T = \frac {2m_1m_2g}{m_1+m_2}6. Pseudo Force & Inertial FramesWForce: Used in non-inertial (accelerating) frames.Fp=−maframeF_p = -ma_{frame}Apparent Weight in a Lift:Moving up with acceleration:Wapp=m(g+α)W_{app} = m(g+\alpha)Moving down with acceleration:Wapp=m(g−α)W_{app} = m(g-\alpha)Free Fall:Wapp=0W_{app} = 07. Circular Motion DynamicsCentripetal Force:fc=mv2r=mω2rf_c = \frac {mv^2}{r} = m\omega^2rBanking of Roads:v=rgtanθv = \sqrt {rgtan\theta}Maximum safe speed (with friction):vmax=rg(μ+tanθ1−μtanθ)v_{max} = \sqrt {rg (\frac {μ + tan\theta}{1 – μtan\theta})} Formula Sheet Physics Formula Sheet Formula SheetPhysics Formula Sheet