Example of equilibrium - mechanics, Mechanical Engineering

Example of Equilibrium:

Express in terms of θ, β and W the force T necessary to hold weight in equilibrium as shown in the figure given below. Also derive an expression for reaction of plane on W. No friction is in between the weight and the plane.

Sol.: As the block is put on the inclined plane, so plane gives vertical reaction on the block say 'R'. Also resolved force 'T' and 'W' in perpendicular and parallel to the plane, now

For equilibrium of the block,

Sum of the components parallel to plane = 0, that is, H = 0

 

217_Example of Equilibrium.png

Tcosβ   - Wsinθ = 0                                                                                                                                     ...(i)

Or                         T = Wsinθ  /cosβ         .......ANS

Sum of components perpendicular to plane = 0, i.e.,    V = 0

R + Tsinβ   - Wcosθ   = 0

Or  R = Wcosθ   - Tsinβ                                                                                                           ...(ii)

Putting the value of T in the equation (ii), We get

R = W{cosθ   - sin θ .tanβ  }                                   .......ANS

Hence reaction of the plane = R = W{cos θ-sinθ. tanβ   }             .......ANS

 

Posted Date: 10/16/2012 2:43:45 AM | Location : United States







Related Discussions:- Example of equilibrium - mechanics, Assignment Help, Ask Question on Example of equilibrium - mechanics, Get Answer, Expert's Help, Example of equilibrium - mechanics Discussions

Write discussion on Example of equilibrium - mechanics
Your posts are moderated
Related Questions
We shutdown our furnace and always encountered crack on our piping at the weld joints. I investigated that upon shutdown the furnace cracking, our maintenance immediately remove th

Special Casting Methods: 1. Die casting : Die casting is a permanent mould casting techniques in which molten metal is forced in the mould cavity under a pressure of 700 to

Ideal Speed Circuit ( 36 to 40 kmph ) : Motorcycle is brought into this condition by raising the throttle valve and an incorporated jet needle. The air enters through the main pa

The aim of this assignment is for the student to use the information, data and analysis techniques presented during lectures to design a belt drive transmission for a ventilation f

What is Principle of superposition (Uniform cross-section s/t multiple loads)

hello. what is the shape of the fractur of brittle material after applied th tensil test.

what is helix angle and how to determine it?

Geometric modeling is an integral part of any Computer-Aided-Design (CAD) system. A geometric model is defined as the complete representation of graphical and non-graphical informa

Derive steady flow energy equation?Also give applications of steady of steady flow energy mathematical equation?

Working of Engine Lubrication System: The oil flows from oil pump into the distribution chamber, where it is divided into two parts. One part enters into the right crankcase cove