Evaluate maximum inclination that can climb - car, Mechanical Engineering

Assignment Help:

Evaluate maximum inclination that can climb:

Q: A four wheel drive can as shown in the figure has mass of 2000Kg with the passengers. The roadway is inclined at the angle with the horizontal. If the coefficient of friction in between tyres and road is 0.3, what is maximum inclination that can climb?

1549_Evaluate maximum inclination that can climb.png

Sol.: Let the maximum value for the inclination is θ for body to remain stationary.

Let 0.25m distance is distance between inclined surface and C.G. Now, Sum of forces parallel to plane = 0

Wsin   = µ(R1 + R2)                                                                                                                     ...(i)

The sum of forces perpendicular to plane = 0

R1  + R2 = Wcosθ                                                                                                                            ...(ii)

By putting the value of equation (ii) in (i), We get

Wsinθ   = µ(Wcosθ ) Or       µ = tanθ

θ= tan-1(0.3)

θ= 16.69º                                                                 .......ANS

 


Related Discussions:- Evaluate maximum inclination that can climb - car

Steady flow energy equation, (a) Derive the mathematical expression for Ste...

(a) Derive the mathematical expression for Steady Flow Energy Equation. State the assumption made before the derivation. (b) The internal energy of a certain substance is provid

Explain moulding sand for non-ferrous casting, Q. Explain Moulding Sand for...

Q. Explain Moulding Sand for Non-ferrous Casting? The melting point of non- ferrous metal is much lower than that of ferrous metals. Therefore, the moulding sands for non-ferr

Find out the effort required to run this machine, Find out the effort requi...

Find out the effort required to run this machine: The efficiency of a machine is 75% while an effort of 20 N is required to lift a load of 160 N. Compute the velocity ratio an

Turnning fixtures, what are the forces acting on workpiece during turning p...

what are the forces acting on workpiece during turning process. how workpiece should be clamp

Isolated system - thermodynamics, Isolated System: In an Isolated syst...

Isolated System: In an Isolated system, neither energy nor masses are permitted to cross the boundary. The system has constant mass and energy. No such system exists physicall

Determine the brake mean effective pressure, A 4 cylinder petrol engine ope...

A 4 cylinder petrol engine operates on the 4-stroke cycle. The bore of each cylinder is 70mm and stroke 100mm. The clearance volume per cylinder is 60cm3. At a speed of 4000rpm, th

Derive the characteristic equations of motion, Derive the characteristic eq...

Derive the characteristic equations of motion for the underdamped, critical damped and overdamped free damped vibration system. Write short notes on i. Fourier series and har

Laser sources-lasers with solid state lasing mediums, Lasers with Solid Sta...

Lasers with Solid State Lasing Mediums For an active medium, the solid state laser uses lasing ions which are suspended in a rod shaped solid matrix. These "dopants" in the rod

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd