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

Evaluation of heat required - thermodynamics, Evaluation of heat Required: ...

Evaluation of heat Required: Heat which is required to generate steam is different from 'total heat' or enthalpy of steam. Heat required for generating steam means heat needed

Machine and tool selection , Machine and Tool Selection The quality of...

Machine and Tool Selection The quality of a product largely depends on the type of machine, the type of process, machining conditions and the right selection of tools. The cur

What kinds of pipes are used for steam lines, Normally galvanized pipes are...

Normally galvanized pipes are not used for steam. Mild steel with screwed or welded fittings are the norm. Pressure and temperature are very significant factors to be considered in

Welding, function of helium shielding gas

function of helium shielding gas

THERMAL, HOW HEAT TRANSFER TAKES PLACE

HOW HEAT TRANSFER TAKES PLACE

Explain rate pressure product, Q. Explain Rate Pressure Product? The sy...

Q. Explain Rate Pressure Product? The systolic blood pressure is multiplied by the heart rate to provide the double product or modified fusion time index. On presence of an obs

Estimate the cutting time, Estimate the Cutting Time A surface 115 mm ...

Estimate the Cutting Time A surface 115 mm wide and 250 mm long is to be rough milled with a depth of cut of 6 mm by a 16-tooth cemented carbide face mill 150 mm in diameter.

Extraction column, 1. An extraction column (sketched below with the known p...

1. An extraction column (sketched below with the known process data) is used to remove acid from an oil stream by contacting it with pure water.  It can be assumed that the oil and

Physics, Explain the super position of waves with neat diagrams

Explain the super position of waves with neat diagrams

Continuum, what is continuum in simple words

what is continuum in simple words

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