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
Explain the Tool Signature The tool angles have been standardized by the American standards association. The seven important elements comprise the signature of the cutting tool

(a) Derive the mathematical equation for work done in a polytropic process (i.e.) PV n =c) (b) A mass of gas is compressed in a quasi-static process from 80KPa, 0.1m 3 to 0.4M

SHIELDING GAS The primary function of the shielding gas is to exclude the atmospheric air from the arc zone. However, the shielding gas has significant influence on the arc cha

FRICTION: you have learnt laws of friction and problems involving dry friction. The relative sliding motion of one body on another body is resisted by forces called as frictio

Find out the slope and deflection at the free end: Discover the slope and deflection at the free end of a cantilever shown in Figure. Take EI = 200 × 10 6 N-m 2 . Solutio

Cell Connectors A cell connector connects the nearby cell with two terminals of opposite polarity (sign). Post strap connect the plates to the terminal. Electrolyte

A hinged object hangs on the outside of a rotating wheel. When the object is in the six o''clock position, it needs to be rotated 180 degrees using only the rotational power of the

Constructiona l Details of Two Stroke Engine: The basic components are cylinder, piston, piston liners, connecting rod, piston rings, crank pin, crank shaft, counter weight e

Problem: In HEC-RAS, model this system as 1 reach with cross-sections every 2 ft. For all 3 discharges (labeled as: design, low, flood), (a) Determine the water depths 10 ft fro

Those that produce microbial cells e.g.Baker's yeast or mycoprotein. Those that produce microbial enzymes e.g. alpha amylase for starch processing, glucose isomerase for the pro