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

Isothermal compression, The critical Temperature of a gas is the highest te...

The critical Temperature of a gas is the highest temperature for which isothermal compression of the gas results in ? Will an adiabatic ?ash result in more, the same, or less va

Kinematics, how do you find the projectile motion or equation?

how do you find the projectile motion or equation?

Bucket conveyors, Bucket conveyors are used to moves the granular powde...

Bucket conveyors are used to moves the granular powdered or liquid materials. The buckets may be mounted on a chain or a belt. The movement may be vertical or flat. The ver

Piston-basic components of engine , Piston: It is a cylindrical component...

Piston: It is a cylindrical component fitted into the cylinder forming the moving boundary of the combustion region. It fits perfectly (snugly) into the cylinder providing a gas-

Power plant, Advantages and disadvantages of solid fuels

Advantages and disadvantages of solid fuels

Group technology, develop an appropriate group technology coding scheme for...

develop an appropriate group technology coding scheme for a line of machine screws using monocode. explain how the coding scheme works. Assume the product line has the following va

Symbol, I need a symbol for push and turn

I need a symbol for push and turn

Find length of belt, Find length of belt: Find length of belt which i...

Find length of belt: Find length of belt which is required to drive a pulley of 500mm diameter running parallel at the distance of 12m from driving pulley of diameter 1600m.

Calculate the net positive suction head, Calculate the Net Positive Suction...

Calculate the Net Positive Suction Head A pump station has been designed to lift water out of a 6 metre deep pit (vented to atmosphere) via a centrifugal pump mounted at groun

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