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
Define term transfer of stress to footing. Transfer of Stress to Footing:  The column transfers the load to the top of the footing by bearing. The magnitude of the pressure

Isothermal Transformation: Austenite is not normally converted in martensite instantly but the procedure continues for some time. Various steels take various time for full tr

Hill Roads: Alignment Selection and Geometric Design Standards Here, you have already learnt how an alignment of a hill road has to be selected. The selection of a g

Q. Requirements for vessels with thickness? The following additional requirements are applicable, as specified,  to Carbon Steel and Low Alloy steel pressure vessels with main

What do you mean by sensitivity in a governor?

Stress-strain carves for ductile materials: A material is said to be ductile in nature, if it elongates before fracture. One this type of material is mild steel. Shape of stre

Q. Erosion-Corrosion In Sand Slurry Line? All sands are collected in the Inlet Slug Catcher and routed to the Desand Tank for separation. Sand Slurry lines are subject to erosi

Sweep Representations  The simplest form of sweep is that produced by sweeping a two-dimensional area along an axis perpendicular to its plane. This form of sweep is most usefu

how to draw parabola by parallelogram method..?

What is Tool Angle? The several angles influence tool performance to a considerable extent & therefore their value should be selected with great care & consideration. a) It