Laws of Motion (Newton ke teen laws) mechanics ka core hai — friction, tension aur circular dynamics ke saare numericals yahin se bante hain. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.
Important Formulas & Concepts — Laws of Motion
- Newton 2nd law: F = dp/dt = ma
- Impulse J = FΔt = Δp
- Conservation of momentum: m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
- Static friction: f ≤ μₛN; kinetic friction: f = μₖN
- Angle of repose: tanθ = μₛ
- Banking of road: v_max = √(rg·tanθ) (frictionless)
- With friction: v_max = √[rg(μ + tanθ)/(1 − μ·tanθ)]
- Apparent weight in lift: N = m(g ± a)
Quick Revision Points
- FBD (free body diagram) har numerical ka pehla step hai
- Friction hamesha relative motion (ya uski tendency) ka oppose karta hai
- Action-reaction pair kabhi ek hi body par act nahi karte
- Lift accelerate up → weight zyada; down → kam
- Pulley: a = (m₁−m₂)g/(m₁+m₂), T = 2m₁m₂g/(m₁+m₂)
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FAQ
Ye chapter kitna important hai?
Sabse important — mechanics ke aage ke saare chapters isi par bane hain. JEE/NEET dono mein heavy weightage.
Notes mein FBD examples hain?
Haan, complete PDF mein pulley, incline, lift ke solved FBD patterns diye hain.
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