Example of equilibrium - mechanics, Mechanical Engineering

Assignment Help:

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

 


Related Discussions:- Example of equilibrium - mechanics

Steering is heavy motorcycle problem, If Steering is Heavy ...

If Steering is Heavy Causes of Problem Remedy Steering head adjuster too tight Damaged steering cones or steel ball

Surface chemistry and electrochemistry of membranes, explain surfacechemist...

explain surfacechemistry and electrochemistry of membranes?

10'''' flange horizontal offset allowable, How does the maximum the 10'''' ...

How does the maximum the 10'''' flange horizontal offset allowable.

Mechanical design, The second stage of the design process is to evaluate th...

The second stage of the design process is to evaluate the oxygen requirement for the organism. This is necessary so that we can establish if the vessel we construct will be capable

Vibration damping and size-factors in clutch design , Vibration Damping : ...

Vibration Damping : Suitable mechanism should be incorporated within the clutch to eliminate (to reduce it drastically) noise produced in the transmission. Size : The size of

Water vortex fountain, hi there there is many way to make the water vortex...

hi there there is many way to make the water vortex but am not sure how can we make the one like > (www.williampye.com/work/charybdis)

Resulting structure of steel, Resulting structure of steel: Heat treat...

Resulting structure of steel: Heat treatments as mentioned below are given to thin steel strips for which TTT diagram is as shown in Figure 19. What will be the resulting stru

Determine the length of arc, Data given for gear problem T P = 30 TG = ...

Data given for gear problem T P = 30 TG = 80 φ = 20o m = 12 mm Addendum = 10 mm then determine the length of path of contact, length of Arc of contact and contact Ratio.

What is the difference between mis and erp, MIS MIS:- Management Infor...

MIS MIS:- Management Information System Produces reports on user demand MIS is use for the Decision making reports It Collect data form of all department then produce

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd