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

Brittle fracture, Dear Sir I would to know what is the min. time required...

Dear Sir I would to know what is the min. time required for carbon steel tube A214 @ zero C to 50 C

Thermodynamics, show that energy of an isolated system is conserved

show that energy of an isolated system is conserved

Arc initiation-touch start-high frequency start, ARC INITIATION Touch...

ARC INITIATION Touch Start With the power supply energised and the shielding gas flowing through the cup, the torch is lowered toward the workpiece until the tungsten electr

Evaluate thickness of leaves, A semi-elliptical laminated vehicle spring to...

A semi-elliptical laminated vehicle spring to took a load of 6000 N is to consist of seven leaves 65 mm wide, two of the leaves extending the full length of the spring. The spring

Determine the period of its oscillation, What are the various methods for c...

What are the various methods for calculation of Natural frequencies? Illustrate one of them. A cylinder of diameter 100 mm and mass 1 Kg floats vertically in a liquid of mass de

Battery components , Cell Connectors A cell connector connects the ne...

Cell Connectors A cell connector connects the nearby cell with two terminals of opposite polarity (sign). Post strap connect the plates to the terminal. Electrolyte

Transmission system , Transmission System: In a two-wheeler, the transmiss...

Transmission System: In a two-wheeler, the transmission system means the whole arrangement that transmits the power from the engine crankshaft to the rear wheel.

Compound springs how do they work?, Ask Compound springs how do they workqu...

Ask Compound springs how do they workquestion #Minimum 100 words accepted#

Find the magnitude and position of maximum bending moment, A simply support...

A simply supported beam of length 5m takes a uniformly increasing load of 800 N/m at one end to 1600 N/m at the other end. Draw the shear force and the Bending moment diagrams for

Shielding gas, SHIELDING GAS The primary function of the shielding gas ...

SHIELDING GAS The primary function of the shielding gas is to exclude the atmospheric air from the arc zone. However, the shielding gas has significant influence on the arc cha

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