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

Find the differential equation, Find the Differential Equation Flow pr...

Find the Differential Equation Flow problems where the Reynolds number is very, very small (Re (a) The space between two coaxial cylinders is filled with an incompressible

Illustrate about the three authors of iges, Illustrate about the three auth...

Illustrate about the three authors of IGES In 1977, the three authors of The Initial Graphics Exchange Specification were recognized collectively for their contributions to the

Working of steam engine , Working of stream engine: The high pressure ...

Working of stream engine: The high pressure steam from boiler is supplied to the steam chest. The high pressure steam enters cylinder through inlet port and exerts pressure on

Abrasive machining processes, Abrasive Machining Processes Such machin...

Abrasive Machining Processes Such machining processes are precision machining processes. They generate work-piece surfaces along with a high degree of surface smoothness and d

Car chassis corrosion, I have got a rusted chassis of a car.I wonder if you...

I have got a rusted chassis of a car.I wonder if you can estimate the remaining strength in a longitudial steel beam 6 cm wide x 12 height.

Design, Hi I am new tutor here Pankaj kumar I got the mail for the verif...

Hi I am new tutor here Pankaj kumar I got the mail for the verification and i regitered now . But how can i get the sample assignment for the further process.

Tempering, TEMPERING: The hardening treatment specified to steel rais...

TEMPERING: The hardening treatment specified to steel raises the hardness but initiates internal stresses due to different cooling rates. The internal stresses are created al

Pulleys, what do you mean by law of belting and also explain the crowning o...

what do you mean by law of belting and also explain the crowning of pulleys ?

State - thermodynamics, STATE - Thermodynamics: The State of system is...

STATE - Thermodynamics: The State of system is its condition or configuration described in detail. State is the condition of the system which is identified by thermodynamic

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