घर्षण कैलकुलेटर
घर्षण बल, नॉर्मल फोर्स और गुणांक निकालें। दृश्य फॉर्मूला और स्टेप-बाय-स्टेप समाधान शामिल हैं।
मुख्य सूत्र
Ff = muN
How do you calculate friction force?
Use Ff = μN. Multiply the coefficient of friction by the normal force. For kinetic friction while sliding, Ff = μk N. Maximum static friction before sliding is Ff,max = μs N. Friction points opposite the tendency to slide.
इस उपकरण के बारे में
घर्षण Ff = μN coefficient और normal force पर निर्भर करता है। समतल या झुके सतहों पर contact-force समस्याएँ चरणों सहित हल करें।
इस कैलकुलेटर का उपयोग
- जिस चर को हल करना है उसे चुनें और ज्ञात मानों की पुष्टि करें।
- गणना से पहले सभी इनपुट को एक जैसी इकाइयों में दर्ज करें।
- परिणाम को इनपुट के आकार से तुलना करके यथार्थवादी है या नहीं, जाँचें।
- समीकरण कैसे लगाया गया, यह देखने के लिए चरण-दर-चरण विवरण पढ़ें।
हल उदाहरण
Example 1: box on a floor, μk = 0.40
m = 10 kg on horizontal floor, g = 9.8. N = mg = 98 N. Ff = μk N = 0.40 × 98 = 39.2 N opposite motion.
Example 2: find μ from measured friction
Ff = 25 N, N = 100 N. μ = Ff/N = 25/100 = 0.25.
Example 3: block on a 30° ramp
m = 5.0 kg, θ = 30°, μk = 0.20, g = 9.8. N = mg cosθ = 49 × cos(30°) ≈ 42.4 N. Ff = 0.20 × 42.4 ≈ 8.5 N up the ramp (opposing slide down).
अक्सर पूछे जाने वाले प्रश्न
What is the friction formula?
Ff = μN, where μ is the coefficient of friction and N is the normal force perpendicular to the surface. Rearrange to μ = Ff/N or N = Ff/μ.
What is the difference between static and kinetic friction?
Static friction (μs) acts before sliding and can vary up to μs N. Kinetic friction (μk) acts during sliding and is usually Ff = μk N. Typically μs ≥ μk.
Why is normal force in the formula, not weight?
Friction depends on how hard the surfaces press together — that is N. On a ramp N = mg cosθ, not mg. On a horizontal floor with no extra forces, N = mg.
How does friction relate to inclined planes?
On a ramp sliding down with kinetic friction, a = g(sinθ − μk cosθ). The block stays at rest if μs ≥ tanθ. Use the inclined plane calculator for full ramp problems.
Does friction always equal μmg?
Only on a horizontal surface with N = mg and the appropriate μ for the situation (static max or kinetic). On inclines, curved paths, or with extra vertical forces, use the actual N in Ff = μN.