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

Difference between path function and point function

Obtain the closed loop transfer function of the system shown:

Cylinder - Part of combustion engine: Cylinder: It provides cylindrical closed space to allow movement of piston and to admit charge. It is made up of grey cast iron or i

Q. Show Pneumatic Test? Pneumatic testing presents hazards that must be addressed as part of the engineering design of the pressure vessel. Due to the additional hazards of

what is equilibrium of rigidity?

Q. Show the Vessel Supports? Approved materials and allowable stresses, shall be used for vessels and their supports. For structural shape support members in compression, wh

The basic aim of synthesis in design process is to provide information which can tell you how to improve the design. In general the synthesis process gives many alternatives of


A circumferential fin rectangular profile is constructed of Cu and surrounds a tube having a diameter of 1.25 cm.  The fin length is 6 mm and its thickness is 0.3 mm. The fin is ex