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

Clutch free play-gear complaints, Clutch free play: Check for free play of...

Clutch free play: Check for free play of the clutch lever, it should be within 10-20 mm.

Determine reactions on compound beams , Determine reactions on compound bea...

Determine reactions on compound beams: Determine reactions at the support A , B , C , and D for arrangement of compound beams shown in the figure given below.

Numerical problems based on the cantilever beam, Numerical Problems Based o...

Numerical Problems Based on the Cantilever Beam: Draw the SF and BM diagram for the beam as shown in the figure given below. Also indicate principal values on diagrams.

Evaluate the speed of train, Evaluate the speed of train: A train of ...

Evaluate the speed of train: A train of mass 200KN has frictional resistance of 5N per KN. Speed of train, at the top of an inclined of 1 in 80 is 45 Km/hr. Find speed of tra

Beee, Explain the construction and principles of operations of induction mo...

Explain the construction and principles of operations of induction motor

Question, A28) cm diameter pipe carries oil of sp. gr. 0.9 at a velocity of...

A28) cm diameter pipe carries oil of sp. gr. 0.9 at a velocity of 3 m/s . At another section diameter is 20 cm. find the velocity at this section and also mass rate of flow of oil.

Induction machine operation, Induction Machine Operation For operation ...

Induction Machine Operation For operation with rated L-L voltage of 230 V and rated frequency of 60 Hz, the performance of a particular 10 hp machine at its rated speed and pow

Describe shear force and bending moment, Describe the following terms:- ...

Describe the following terms:- a) Shear force and bending moment b) Concentrated load, Uniformly varying load and Uniformly distributed load c) Beam & Types of beam. d)

Currency bull spread and bear spread, Currency Bull Spread and Bear Spread:...

Currency Bull Spread and Bear Spread: A currency bull spread is constructed by buying a call option for a particular underlying currency and simultaneously writing a call opti

Example of wedge friction, Example of Wedge friction: T wo blocks A...

Example of Wedge friction: T wo blocks A and B are employed to raise load of 2000 N resting on another block C by the application of force P as shown in the figure g

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