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derive an expression for maximum velocity in banking angle

Vamsi Krishna Kodimela , 7 Years ago
Grade 11
anser 1 Answers
Vikas TU

Last Activity: 7 Years ago

Dear Student,
For the vehicle to go round the bended track at a sensible speed without slipping, the more noteworthy centripetal constrain is overseen for it by raising the external edge of the track a little over the inward edge. It is called keeping money of round tracks. 
 
Consider a vehicle of weight Mg, moving cycle a bended way of sweep r, with a speed v, on a street saved money through angleѳ 
 
The vehicle is under the activity of the accompanying strengths: 
 
The weight Mg acting vertically downwards 
 
The response R of the ground to the vehicle, acting along the typical to the saved money street OA the upward way 
 
The vertical part R cos Ѳ of the typical response R will adjust the heaviness of the vehicle and the level segment R sin Ѳ will give the vital centripetal constrain to the vehicle. Accordingly, 
 
R cosѳ = Mg … (i) 
 
R sinѳ= uMg… (ii)
Dividing both the eqns. we get,
tanthetha = u.
Where u is the coefficient friction.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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