Example of Equilibrium of body on the rough inclined:

Magnitude of minimum force 'p' that is required to move the body up the plane. At the time when 'p' is acted with the angle of φ.

Resolving the forces which are Parallel to Plane OA:

Pcosφ  - µR - W.sinα  = 0                                                                                                                ...(i)

Resolving all the forces Perpendicular to Plane OA:

R + Psinφ - W.cos  α = 0                                                                                                                ...(i)

Putting value of 'R' from (ii) in equation (i) we get

P = W.[(µ.cosα + sinα )/( µ.sinφ + cosφ )]

Now putting µ = tanφ , on solving

P = W.[sin(α   + φ  )/cos(φ-  θ )]                                                               ...(iii)

Now P is minimum at cos(φ - θ ) is max

i.e., cos(φ   -  θ ) = 1 orφ     -θ   = 0     i.e., φ    =θ

P_min = W.sin( θ +φ )

Posted Date: 10/17/2012 7:14:40 AM | Location : United States

Ask an Expert

Related Discussions:- Example of equilibrium of body on the rough inclined, Assignment Help, Ask Question on Example of equilibrium of body on the rough inclined, Get Answer, Expert's Help, Example of equilibrium of body on the rough inclined Discussions

Write discussion on Example of equilibrium of body on the rough inclined
Your posts are moderated

Write your message here..

Related Questions

State the main advantage of using master pages, Problem: (a) InDesign ... Problem: (a) InDesign is known as a common software for designers mainly used for publication of newspapers, magazines and other editorial design artworks. The Master page fe

Perform a beam modal analysis, 1) Figure shows a thin Aluminium structural ... 1) Figure shows a thin Aluminium structural beam use in an aircraft structure.  Using the stiffness method, determine the BM and Shear force of the two elements of the thin beam sh

Calculate values of the yield strength, Your company received an order to m... Your company received an order to machine a batch of 150 steel parts that are 73.0 mm in diameter and 250 mm in length. One of the processes is a finish turning operation. Where th

Practicle about torsion test of mild steel or brass, write a discussion write a discussion

Describe fire clay and kaolinite binders, Q. Describe Fire clay and Kaolini... Q. Describe Fire clay and Kaolinite Binders? Fire clay : Fire clay is refractory clay usually found in the coal measures. Kaolinite: Its general composition is al 2 o 3

Determine maximum tension in the belt, The following data is provided for b... The following data is provided for belt transmission dynamometer as shown in figure, NA = 400 r.p.m., DA = 750 mm, DB = DC = DD = 250 mm, L = 800mm, Power = 8KW. Determine :- Th

Blasting nozzle, Blasting Nozzle: Figure: Shown blast nozzle samp... Blasting Nozzle: Figure: Shown blast nozzle sample             Jet injection type of nozzle is a very powerful blasting method. Nozzle design is very particular to the

Process planning system, importance of process planning system importance of process planning system

Show the water treatment unit, The de-oiled water from De-Oiling Unit enter... The de-oiled water from De-Oiling Unit enters the HLS vessel for softening. The primary function of HLS is to remove the Ca and Mg hardness and bring the total hardness to less tha

The continue dimension command-autocad, The Continue Dimension Command ... The Continue Dimension Command You can use the Continue command to add a string of dimensions. In the illustration above the "36mm" dimension has been continued from the "64mm"