Example of equilibrium of body on the rough inclined, Mechanical Engineering

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.

1938_Equilibrium of body on the rough inclined.png

Resolving the forces which are Parallel to Plane OA:

Pcosφ  - µW.sinα  = 0                                                                                                                ...(i)

Resolving all the forces Perpendicular to Plane OA:

Psinφ W.cos  α = 0                                                                                                                ...(i)

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

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

Now putting µ = tanφ , on solving

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

Now is minimum at cos(φ - θ ) is max

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

PminW.sin( θ +φ )

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

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
Related Questions
what is tool cost?

WELDING ARC PHYSICS Electric arc as an intense source of heat is employed in welding of materials. In the field of welding techniques, arc welding processes constitute a major po

A rectangular channel of width 12ft has an upstream slope of 0.02ft/ft and a downstream slope of 0.0005 ft/ft. Both reaches have lengths of 500 ft. The upstream reach has a Manning

The different advantages of alloy steel are as: (a) Higher strength, toughness and hardness upon surface and over bigger cross-section. (b) Better harden-ability and retentio

Field winding Every pole core has one or more ?eld windings provided on it to make a magnetic ?eld. Whenever they carry current, they electromagnetic the poles which pro

advantages and disadvantages of kanban

Find the tangential and normal components of acceleration: A fly wheel along diameter 400 mm begins from rest with constant angular acceleration 2 rad/sec 2 . Find out the tan

A number of heavy items are to be off-loaded from a Heavy-Lift Ship and placed on a series of "support assemblies" on the quayside to await transportation by road to their destinat

Explain which laws of physics are used to discuss heat loss in a pipe, and briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived. Explain th