Evaluate the support required by body on plane, Mechanical Engineering

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

 

Posted Date: 10/18/2012 2:28:45 AM | Location : United States







Related Discussions:- Evaluate the support required by body on plane, Assignment Help, Ask Question on Evaluate the support required by body on plane, Get Answer, Expert's Help, Evaluate the support required by body on plane Discussions

Write discussion on Evaluate the support required by body on plane
Your posts are moderated
Related Questions
Steel Rule: A steel rule is used to measure length. It has two scales - in millimeters and inches. These rules are available in market in discrete lengths such as 15, 30, 60 cms.

Ratio of belt tension: For Open belt drive:   Angle of contact (θ) for larger pulley = ∏ + 2α Angle of contact (θ) for smaller pulley = ∏ - 2α For cross belt drive:

Proof of parallelogram law of forces

scale and sludge formation


how to calculate machining time for milling operation

Determine reactions of the overhanging beam: Determine r eactions at points A and B of the overhanging beam as shown in the figure given below.

What is one way shear? Explain with a suitable demonstration. One Way Shear This worked out seen a similar case is the case of wall footings. For square footings also the cr

Multimeter: This is used to measure voltage, current and resistance of an electrical circuit (Figure). Figure: Multimeter

Calculate mean effective pressure of engine: A 4 stroke diesel engine is having length of 20 cm and diameter of 16 cm. The engine is generating indicated power of 25 KW when