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

What do you mean by line designation tables, Q. What do you mean by Line De... Q. What do you mean by Line Designation Tables? Development of the Line Designation Tables (LDT's) is carried out in conjunction with the evolution of the P&ID's. Engineering

Thermodynamics, show that work is a path function and not a point funtion ?... show that work is a path function and not a point funtion ?

Principle stresses, Determine the bending  (o-, ) and shear stress ( Tx), )... Determine the bending  (o-, ) and shear stress ( Tx), ) at the surface element shown on the solid circular shaft below. Use Mohr's circle to determine the principle stresses, a l

Area Moment of Inertia, Are a Moment of Inertia Moment of force about ... Are a Moment of Inertia Moment of force about a point is product of the force ( F ) and perpendicular distance ( d ) between point and line of action of that is F.d. This mome

2R-2P, EXPLANE PLZZ EXPLANE PLZZ

First law of thermodynamics, common formula for first law of thermodynamics... common formula for first law of thermodynamics #Minimum 100 words accepted#

Elements of cad, Human Factor : The human factor is the key factor in th... Human Factor : The human factor is the key factor in the success of CAD system. This concerns the training of the designer or the engineer without whom the CAD system become

What is the combined stiffnes, A competitor in a hill-climb event finds dur... A competitor in a hill-climb event finds during practice that his car becomes airborne at a particular point on the hill.  Shortly after landing the lowest point in the car just co

Determine mi of unequal angle section, Q .  Determine MI of unequal angl... Q .  Determine MI of unequal angle section 15cm × 10cm × 1.5cm with longer leg vertical and is flange upwards. Figure Sol. :                      A 1 = 10 ×

Determine thevoidage , Question: The figure below shows a packed bed i... Question: The figure below shows a packed bed in a 0.1 m diameter tube.  The particles are cylindrical in shape with surface volume mean diameter of 300 µm. The density and ma