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

Actual vapour compression cycle, diffrence between actual and idealactual v...

diffrence between actual and idealactual vapour compression cycle

Illustrate reversible-irreversible and quasi-static process, (a) Illustrate...

(a) Illustrate reversible, irreversible and Quasi-static process with examples. (b) What do you mean by terms change of state, path, process, property, cycle. (c) Distinguish

Branches of mechanics, Branches of mechanics: Mechanics is basically d...

Branches of mechanics: Mechanics is basically divided in to two parts Static's and Dynamics, Dynamics is further divided in kinematics and kinetics Statics: It deals with

MATERIAL SCIENCE, IF ONE SOLID PHASE SPLITS INTO TWO SOLID PHASES ON HEATIN...

IF ONE SOLID PHASE SPLITS INTO TWO SOLID PHASES ON HEATING THE REACTION IS CALLED

Advantage of flash butt welding, Advantage of flash butt welding 1. Hig...

Advantage of flash butt welding 1. Higher weld strength 2. Higher production rate 3. Better heat concentration 4. Simple weld surface preparation 5. Wide range of m

Create a pay - off table, Bhasker operates a retail shop and sells the high...

Bhasker operates a retail shop and sells the high priced "Hot Food" thermoware. Each unit I priced at Rs.250. Experience has shown that the weekly demand schedule for items is as f

Thermodynamics, Show that the entropy maximum principle encountered in the ...

Show that the entropy maximum principle encountered in the study of isolated system is equivalent to the statement that the nonflow exergy of an isolated system is destined to decr

Visual realism, VISUAL REALISM: Hidden line and surface removal elimin...

VISUAL REALISM: Hidden line and surface removal eliminates the ambiguities of the displays of three-dimensional models and is considered the first step toward visual realism.

Measurement of hardenability, Measurement of Hardenability: Two testi...

Measurement of Hardenability: Two testing techniques have been enhancement to measure the harden-ability of steels. The first, termed as cylinder series test, offers a single

Cases of equilibrium , Cases of equilibrium: What are cases of equili...

Cases of equilibrium: What are cases of equilibrium? Sol.: As a result of the acting forces, the body may be having one of the following states: (1) The body can mo

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