8.1 Balanced and Unbalanced Forces
Force (फोर्स / बल):
Force ka matlab hota hai kisi object par Push (धक्का), Pull (खींचना) ya Hit (मारना) lagana.
Force ko hum directly dekh nahi sakte, lekin iske effects dekh sakte hain – jaise object ka move karna, rukna ya shape change hona.
Balanced Forces (संतुलित बल)
- Jab do equal aur opposite forces kisi object par lagti hain, tab object ki state (rest ya motion) nahi badalti.
- Net Force = 0.
- Udaharan: Rassakashi (Tug of war) me agar dono team barabar bal lagayen to rassi nahi hilti.
- 👉 Balanced forces sirf shape change kar sakti hain, motion ko nahi.
Unbalanced Forces (असंतुलित बल)
- Jab do forces equal nahi hoti, tab object ki state change hoti hai.
- Net Force ≠ 0.
- Udaharan: Wooden block ko ek taraf zyada force se kheenchne par block usi taraf move karega.
Bacche box ko push karte hain – agar friction zyada hai to box nahi chalega, agar push force friction se zyada ho gaya to box move karne lagega.
Rozmarra ki Life ke Examples:
- Cycle chalana: Pedal maarne par cycle move karti hai kyunki unbalanced force lagta hai.
- Pedal maarna rok dene par friction aur air resistance cycle ko dheere-dheere rok dete hain.
Diagrams (Textbook se lena hai):
- Fig. 8.3 – Wooden block with two strings
- Fig. 8.4 – Children pushing a box
8.2 First Law of Motion (Newton’s First Law / Law of Inertia)
Statement:
“An object remains at rest or in uniform motion in a straight line unless compelled to change that state by an external unbalanced force.”
Matlab:
Agar koi body rest me hai to rest me hi rahegi, agar koi body uniform motion me hai to wo waise hi chalti rahegi. Motion ya rest ko change karne ke liye unbalanced force zaroori hai.
Inertia (जड़त्व)
- Inertia of Rest: Object rest me hai to rest me hi rehna chahta hai.
- Inertia of Motion: Object motion me hai to motion me hi chalna chahta hai.
- Inertia of Direction: Object apni direction change nahi karta jab tak force na lage.
Galileo’s Experiment:
Inclined plane par marble ka observation:
- Downward slope – velocity badh rahi hai.
- Upward slope – velocity kam ho rahi hai.
- Equal slopes – marble same height tak pahunchta hai.
- Flat slope – marble hamesha move karta rahega.
Conclusion: Bina unbalanced force ke uniform motion chalta rahega.
Rozmarra ke Examples:
- Bus brake lagaye – passengers inertia of motion ki wajah se aage jhukte hain.
- Bus start ho – passengers inertia of rest ki wajah se peeche girte hain.
- Car tez turn le – inertia of direction ki wajah se passengers side ki taraf jhukte hain.
- Carom coins ka experiment (Activity 8.1).
- Coin on card over glass tumbler (Activity 8.2).
Safety Applications:
- Seat belts – passengers ko inertia ki wajah se injury se bachati hain.
- Groove in saucer – cup ko girne se bachata hai sudden jerk par.
Diagrams (Textbook se lena hai):
- Fig. 8.5 – Inclined plane with marble
- Fig. 8.6 – Carom coins experiment
- Fig. 8.7 – Coin in glass tumbler
8.3 Inertia and Mass
Concept:
Har object apni motion ya rest ki state ko badalne se resist karta hai.
Isi property ko Inertia (जड़त्व) kehte hain.
Object ka inertia uske mass (द्रव्यमान) par depend karta hai.
Relation between Inertia and Mass
- Jyada mass → jyada inertia → motion change karna mushkil.
- Kam mass → kam inertia → aasani se motion change hota hai.
- Mass is the measure of Inertia.
Rozmarra ke Examples:
- Khaali box ko push karna easy hai, lekin kitaabon se bhare box ko push karna tough (kyunki mass aur inertia zyada hai).
- Football ko kick karne par wo easily udta hai, lekin same size ka pathar kick karne par nahi (pathar ka inertia zyada hai).
- Carom coin experiment – 5 rupaye ke sikke ki jagah 1 rupaye ka sikka use karne par kam force lagta hai (kam mass = kam inertia).
- Train vs Cart – Train ka inertia bahut zyada hota hai, isliye usse rokne ya chalane ke liye bahut force chahiye.
Important Note:
Inertia ke teen forms (Rest, Motion, Direction) pehle samjhaye gaye the.
Yahaan samajhna zaroori hai ki Mass inertia ka measure hai.
Formula: Inertia ∝ Mass
Diagrams (Textbook se lena hai):
- Fig. 8.7 – Coin in tumbler (Inertia of Rest)
- Comparative example – Football vs Stone, Empty box vs Full box
8.4 Second Law of Motion
Concept:
Newton ka Second Law batata hai ki kitna force lagega aur motion kitna change hoga.
Statement: “The rate of change of momentum of an object is directly proportional to the applied unbalanced force and takes place in the direction of force.”
Momentum (संचलन मात्रक)
- Momentum = Mass × Velocity (p = m × v)
- SI Unit = kg m/s
- Direction = velocity ke direction me hoti hai.
- Example: Bullet – kam mass lekin high velocity → bada momentum.
Derivation of Second Law
Mass = m, Initial velocity = u, Final velocity = v, Time = t.
- Initial momentum p1 = mu
- Final momentum p2 = mv
- Change in momentum = m(v – u)
- Rate of change of momentum = m(v – u) / t
To, F = ma
Applications in Daily Life:
- Catching cricket ball – hands ko peeche kheenchne se force kam lagta hai.
- High jump / pole vault – cushioned mat par girne se time badhta hai aur injury kam hoti hai.
- Karate player – ice slab todne ke liye kam time me bada force lagata hai.
SI Unit of Force:
1 Newton (N) = Force required to accelerate 1 kg mass with acceleration 1 m/s².
Formula: 1 N = 1 kg × 1 m/s²
Examples:
- 5 kg object: velocity 3 m/s se 7 m/s karne me 2 sec → Force = 10 N.
- Motorcar: 108 km/h se 4 sec me stop (mass 1000 kg) → Braking Force = –7500 N.
Diagrams (Textbook se lena hai):
- Fig. 8.8 – Fielder catching ball
- Fig. 8.9 – Velocity-time graph