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

Explain gear milling, Explain Gear Milling Milling is a form-cutting pr...

Explain Gear Milling Milling is a form-cutting process limited to making single gears for prototype or very small batches of gears as it is a very slow and uneconomical method

Force exerted by a jet of water on an inclined fixed plate, (a) Show that t...

(a) Show that the force exerted by a jet of water on an inclined fixed plate in the dissection of jet is provided by fx = .a.v 2 . sin2θ. Where a is area of jet, v is velocity of j

Introduction to tools and equipment , INTRODUCTION: At any point of time, ...

INTRODUCTION: At any point of time, it may be required to disassemble the whole or any part of motorcycle. Whenever a part of motorcycle malfunctions or is damaged then it may be

Show the vessel internals, Q. Show the vessel internals? Functional des...

Q. Show the vessel internals? Functional design of trays and other removable internals are outside the scope of this document. Removable internals shall be sized to pass thr

Find the magnitude of the angular acceleration of system, Find the magnitud...

Find the magnitude of the angular acceleration of system: A homogeneous sphere having a mass of 100 kg is associated to a slender rod having a mass of 20 kg. In the horizontal

Capp, explain capacity planning system

explain capacity planning system

Evaluate the effects at certain instant, The turbine rotor of ship of mass ...

The turbine rotor of ship of mass 6000Kg has a r of Gyration 50cm. It moves at speed of 1820rpm clockwise when looking from the rear. Evaluate the effects set up:- 1) If the shi

Determine the resultant of the system of forces, Determine the resultant of...

Determine the resultant of the system of forces: Four forces act on a body as illustrated in Figure. Determine the resultant of the system of forces. Figure Sol

Thermodaynamic, Ask question #MiThe steam that leaves the super-heater is e...

Ask question #MiThe steam that leaves the super-heater is expanded from 130bar at 535°C to 25.2bar at 310°C in a high pressure turbine. The steam from the exit of the HP turbine is

Module site installation preparation, Q. Module Site Installation Preparati...

Q. Module Site Installation Preparation? The following tasks shall be accomplished at the Facility site prior to setting the modules on the piles: After module support piles

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