Determine couple - homogeneous cylinder, Mechanical Engineering

Assignment Help:

Determine couple - Homogeneous cylinder:

Homogeneous cylinder having weight W rests on horizontal floor in contact with wall (Figure given below). If the coefficient of friction for the all contact surfaces be µ, determine couple M acting on cylinder, which will begin counter clockwise rotation.

827_Homogeneous cylinder.png

Sol.: ∑H = 0 R1  - µR2 = 0

R1 = µR2                                                                                                                         ...(i)

∑V = 0  => R2  + µR1 = W                                                                                               ...(ii)

Putting value of R1 in equation (ii), we get

R2  + µ2R2 = W

R2 = W/(1 + µ2)                                                                                                                   ...(ii)

Putting value of R2 in equation (i), we get

R1 = µW/(1 + µ2)                                                                                                               ...(iv)

Taking the moment about O, we get

MO = µR1r + µR2r

= µr{R1 + R2}

= µr{(µW/(1 + µ2)) + (W/(1 + µ2))} = µrW{(1 + µ)/(1 + µ2)}

MO = µrW(1 + µ)/(1 + µ2)                                          .......ANS

 


Related Discussions:- Determine couple - homogeneous cylinder

Strengh of material, case study of thermal stresses and composite bar

case study of thermal stresses and composite bar

Air standard cycles - thermodynamics, AIR STANDARD CYCLES - thermodynamics:...

AIR STANDARD CYCLES - thermodynamics: Most of the power plant operates in the thermodynamic cycle that is the working fluid undergoes a series of processes and returns to its

What is the importance of safety at workshop?, (a) What is the importance o...

(a) What is the importance of safety at workshop? (b) What problems may arise, if we do not take safety precautions in the workshop?

Fluid Mechanics final project, First we focus on the inner region fluid (0 ...

First we focus on the inner region fluid (0 (solid body rotation) around the z-axis. The steady incompressible velocity field is given by ur=0 utheta=rw uz= 0. The pressure at th

General factors behind accidents , GENERAL FACTORS BEHIND ACCIDENT:  Follow...

GENERAL FACTORS BEHIND ACCIDENT:  Following are the factors, which may cause accidents in workshop, so we should take care of these factors: Insufficient light and ventilati

Define external broaching - types of broaching, Define External Broaching -...

Define External Broaching - Types of Broaching External broaching is employee for machining a flat surface. The broach is in the form of a small length tool mounted on a slider

Explain in detail about the large excavations, Explain in detail about the ...

Explain in detail about the Large excavations Large excavations required for construction of rafts may need dewatering, depending on the ground water flow and the choice of  a

Theory of machine, In turning moment diagram. why we start to draw curve fr...

In turning moment diagram. why we start to draw curve from o degree?

Explain screed unit, Explain the Screed unit The main screed is pivoted...

Explain the Screed unit The main screed is pivoted at the centre point of the machine to assure a constant flatness of work on uneven grounds. It consists of 2440 mm main scree

Determine the chemical formulate for refrigerant, (a) Draw P-H and T-S diag...

(a) Draw P-H and T-S diagrams for following cases : (3) (i) Cycle with superheated vapour before compression. (ii) Cycle with sub-cooling or under-cooling of refrigerant.

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