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

Wire-frame entities-representing ellipse and parabolas, wire-frame entities...

wire-frame entities-representing ellipse and parabolas

Explain the process for solve screw conveyer problem, Process for solve scr...

Process for solve screw conveyer problem For fully automatic extension of screw conveyer according to screed width we have to go for some design changes, At the end of main

Other bearing materials, Other Bearing Materials An extensively hard w...

Other Bearing Materials An extensively hard wood of great density, termed as lignum vitae, has been employed for bearing applications. Along with water as cooling and lubrican

Cycle of operation of four-stroke spark ignition engine, With neat diagram ...

With neat diagram illustrate the cycle of operation of four-stroke spark ignition engine. In what respects four-stroke cycle CI engine differ from that of SI engine ?

How to calculate coupling factor?, Q. Two coils with self inductances 1H an...

Q. Two coils with self inductances 1H and 4H have a mutual inductance of 1H. The RMS value of current flowing in the two coils is 4A and 1A respectively. Find  the coupling factor

Types of tool and equipment , TYPES OF TOOL AND EQUIPMENT: We can classify...

TYPES OF TOOL AND EQUIPMENT: We can classify the required tools and equipment into following four categories to understand their uses : General tools, Measuring equipm

Calculate total deflection -two close-coiled helical springs, Calculate tot...

Calculate total deflection -two close-coiled helical springs: Two close-coiled helical springs are compressed among two parallel plates by a load of 1000 N. The springs contai

What do you mean by bunds and dikes, Q. What do you mean by Bunds and Dikes...

Q. What do you mean by Bunds and Dikes ? A bund (or dike) is an embankment or wall of brick, stone, concrete or other impervious material, which surrounds the entire perimeter

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