Evaluate the support required by body on plane, Mechanical Engineering

Assignment Help:

Evaluate the Support required by body on plane:

A body having weight 50KN rests in limiting equilibrium on rough plane, whose slope is 30º. The plane is raised to a slope of 45º; what force, applied to the body parallel to inclined plane, will support the body on plane.

Sol.: Consider When the slope of plane be 30° The sum of forces parallel to plane = 0

µ R - Wsin30° = 0                                                                                                                                      ...(i)

The sum of forces perpendicular to plane = 0

R - Wcos30° = 0

R = Wcos30°                                                                                                                      ...(ii)

Putting value of R in equation (i) We get

µ = tan30º = 0.577                                                                                                         ...(iii)

796_Evaluate the Support required by body on plane.png

Now consider the case when slope is 45°, Let Force P required for supporting the body. In this case

The sum of forces parallel to plane = 0

P - µR - Wsin45° = 0                                                                                                                                   ...(iv)

The sum of forces perpendicular to plane = 0

R - Wcos45° = 0

R = Wcos45°                                                                                                                       ...(v)

Putting value of R in the equation (iv) we get

P = µWcos45° - Wsin45°

P = 15.20KN                                                                               .......ANS

 


Related Discussions:- Evaluate the support required by body on plane

Hot service insluation thicknesses, Q. Hot Service Insluation Thicknesses? ...

Q. Hot Service Insluation Thicknesses? Hot Service Insluation Thicknesses are specified based on the following design criteria: • Average Annual Climatic Conditions:

Describe and derive an expression for energy method, Split the harmonic mot...

Split the harmonic motion x=10 sin (wt + 30 0 ) into two harmonic motions one having a phase angle of zero and the other of 45 0 . Describe and derive an expression for energy m

Statics, what are the common application of statics in industry

what are the common application of statics in industry

Fluids, show a schematic circuit diagram of a electric hydraulic gear pump...

show a schematic circuit diagram of a electric hydraulic gear pump with adjustable with one direction flow and explain the operation

Evaluate the composite transformation matrix, A triangle ABC with vertices ...

A triangle ABC with vertices A (30,20), B(90,20), C(30,80) is to be scaled by a factor of 0.5 about a point X(50,40). Calculate :- (i) The composite transformation matrix; and

Gear complaints of engine starting, Gear Complaints Nature of Complaints (...

Gear Complaints Nature of Complaints (a) Gear shifting hard (b) Gear slipping (c) Gear noise

Hydraulic jack, explain the operation manual of a hydraulic jack

explain the operation manual of a hydraulic jack

Huckel theory - quantum and spectroscopy, (1) Huckel Theory: Using Huckel t...

(1) Huckel Theory: Using Huckel theory, write a program that solves for the molecular orbitals and energy levels in a conjugated or aromatic hydrocarbon (i.e. ethylene, butadiene,

What could be the characteristics of tool materials, (a) What could be the ...

(a) What could be the characteristics of tool materials. (b) Describe several tool materials with their composition.

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