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

Determine strain energy stored in coiled helical spring, Determine Strain e...

Determine Strain energy stored in coiled helical spring: For a close coiled helical spring subjected to an axial load of 200 N with 10 coils of wire of diameter 18 mm and buil

Determine the maximum hoop - conical shells, Determine the maximum hoop: ...

Determine the maximum hoop: A conical water tank of height 2 metres & base radius 500 mm is supported at top and is full of water. The thickness of the wall is refer to 24 mm,

Perform a beam modal analysis, 1) Figure shows a thin Aluminium structural ...

1) Figure shows a thin Aluminium structural beam use in an aircraft structure.  Using the stiffness method, determine the BM and Shear force of the two elements of the thin beam sh

Working of engine lubrication system , Working of Engine Lubrication System...

Working of Engine Lubrication System: The oil flows from oil pump into the distribution chamber, where it is divided into two parts. One part enters into the right crankcase cove

What do you mean by vibration, A body is subjected to two harmonic motions ...

A body is subjected to two harmonic motions as given below : X 1 = 15 sin (wt + 30 0 ) and X 2 = 8 cos (wt + 60 0 ). What harmonic motion should be given to the body to bring

Thermodynamics, we can use in proove of energy is a propertyof system we ca...

we can use in proove of energy is a propertyof system we can use (E) instead of (dQ-dW)

What is boiler feedwater, Q. What is Boiler feedwater? The boiler feedw...

Q. What is Boiler feedwater? The boiler feedwater will be a mixture of desalinated water, treated make-up water and returned condensate, deaerated and heated, supplied by other

Equipment for resistance welding, EQUIPMENT FOR RESISTANCE WELDING The ...

EQUIPMENT FOR RESISTANCE WELDING The equipment for resistance welding is different from that for arc welding for the following reasons: Resistance welding machines are complica

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