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

Engine, as diesel engine gives more milege than petrol engine then why we a...

as diesel engine gives more milege than petrol engine then why we are using petrol engine..

Crankcase-basic components of engine , Crankcase: It is connected to eng...

Crankcase: It is connected to engine cylinder. It splits into two parts, named as right crankcase and left crank case. It supports the kick-starter spindle, crankshaft, main shaf

Steering is heavy motorcycle problem, If Steering is Heavy ...

If Steering is Heavy Causes of Problem Remedy Steering head adjuster too tight Damaged steering cones or steel ball

What is the function of fuel feed system?, (a) What is the function of fuel...

(a) What is the function of fuel feed system? (b) What are the functions of a carburettor? (c) List main components of a carburettor. (d) Describe the working principle of

Steps for F-test, Steps for F-test The Steps followed in the F-Test are...

Steps for F-test The Steps followed in the F-Test are as follows: (A) State the hypothesis: Ho: Relationship between Y and all Xs is not significant. HA: Relationship bet

Types of couple - mechanics, Types of couple: Explain about different...

Types of couple: Explain about different types of couple?  Sol.: There are mainly two types of couples: 1 . Clockwise Couple   A couple whose tendency

Simply supported beam - shear force diagram, Simply supported beam - Shear ...

Simply supported beam - Shear Force diagram: A simply supported beam of length 8 m is subjected to a consistently varying load from zero at centre to 3 t/m at both of ends. Dr

Determine the stress in the meridional direction, Determine the stress in t...

Determine the stress in the meridional direction: A doubly curved shell of thickness 8 mm is filled through a liquid under an internal pressure of 2.0 N/mm 2 . At a specific p

Determine the reactions at the points of supports, Two identical rollers, e...

Two identical rollers, each of weight W= 1000N are placed by an inclined plane and a vertical wall as shown below. Determine the reactions at the points of supports A, B, and C. Su

Direct current, Direct Current ( DC ) :  The direct current flows through...

Direct Current ( DC ) :  The direct current flows through a wire in one direction and it remains same over time. The current from battery is always direct current. Direc

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