Evaluate the angle - block impends down the plane, Mechanical Engineering

Assignment Help:

Evaluate the angle - block impends down the plane:

What should be value of the angle shown in the figure so that the motion of the 90N block impends down the plane? The coefficient of friction for entire surface = 1/3.

1329_Evaluate the angle - block impends down the plane.png

Sol.: Consider equilibrium of block 30N             

∑V = 0;                                                                      1403_Evaluate the angle - block impends down the plane1.png

R1  - 30cos θ  = 0,

R1 = 30cos                                 ...(i)

∑H = 0;

T - µR1 - 30sinθ   = 0,

T = 10cos θ  + 30sinθ           ...(ii)

Consider the equilibrium of block 90N

∑V = 0;

R2  - R1  - 90cos θ  = 0

R2 = 120cos                             ...(iii)

∑H = 0;

90sin θ  - µR1 - µR2 = 0,

90sin θ  = 10cos θ  + 40sinθ         ...(vi)

tanθ = 5/9 that is  θ = 29.050

 


Related Discussions:- Evaluate the angle - block impends down the plane

Function of heat pump, Function of heat pump: Refrigerator The pr...

Function of heat pump: Refrigerator The primary function of heat pump is to transfer heat from the low temperature system to the high temperature system, this transfer of

Matlab Applied Optimization Problem, A fenced enclosure consists of a recta...

A fenced enclosure consists of a rectangle of length L and width 2R, and a semicircle of radius R, as shown in Figure P20. The enclosure is to be built to have an area A of 1600 ft

Violation of clausius statement - thermodynamics, Equivalen t of Kelvin Pl...

Equivalen t of Kelvin Plank and Clausius statement: The Kelvin plank and clausius statements of the second law and are equivalent in all the respect. The equivalence of state

What do you understand by binders, Q. What do you understand by Binders? ...

Q. What do you understand by Binders? Binders used in a foundry are : Inorganic and organic binders. Organic binders used for core making and will be discussed later. Clay b

Engineering dynamics, engineering dynamics problems of kinetics of particle...

engineering dynamics problems of kinetics of particle

Sound waves in gases, Sound Waves in Gases Sound waves are longitudinal...

Sound Waves in Gases Sound waves are longitudinal pressure waves. Let us consider the motion of a plane sound wave moving along  X-axis  in a gas medium. In undisturbed positio

Describe the type of facing and backing sand, Q. Describe the type of Facin...

Q. Describe the type of Facing and Backing sand? Facing sand. This sand is used directly next to the surface of the pattern and comes into contact with the molten metal when th

How pipe flanges are electrically insulated, Pipe flanges are protected fro...

Pipe flanges are protected from corrosion by means of electrolysis, with dielectric flanges. The piping system is electrically insulated by what is known as a sacrificial anode. A

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