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

GOVERNOR, APPLICATION OF GOVERNOR

APPLICATION OF GOVERNOR

Determine directions of the wave vectors-double refraction, Double Refracti...

Double Refraction An unpolarized plane wave is incident from free space onto a quartz crystal (n e = 1.553 and n o = 1.544) at an angle of incidence 30°. The optic axis lies i

Design of the plc ladder and profibus - asi network, 1 Prepare an updated s...

1 Prepare an updated sketch of the electro-hydraulic system shown in Figure showing the actuators in their start position appropriate to your allocated actuator sequence. 2 By u

Laser sources-lasers with solid state lasing mediums, Lasers with Solid Sta...

Lasers with Solid State Lasing Mediums For an active medium, the solid state laser uses lasing ions which are suspended in a rod shaped solid matrix. These "dopants" in the rod

Working of lacashire boiler, Working of lacashire boiler: WORKIN G: ...

Working of lacashire boiler: WORKIN G: Water is filled through feed check valve. On burning fuel over grate, the hot gasses are produced which move in flue gas tubes.

find the machine fraction, Two machining operations, A (3 minutes per part...

Two machining operations, A (3 minutes per part) and B (10 minutes per part), are performed sequentially to manufacture a part. Machines A and B produce 5% and 6% defective items,

Find the maximum permissible, A wooden cylinder (specific gravity = 0.6) of...

A wooden cylinder (specific gravity = 0.6) of circular cross - section having length L and diameter D floats in water. Find the maximum permissible (L/D) ratio so that the cylinder

Evaluate the net work done by the gas, An ideal gas is heated at fixed volu...

An ideal gas is heated at fixed volume until its temperature is 3 times the original temperature. It is then expanded isothermally till it reaches original pressure. The gas is t

Explain concept of tapping of radial drilling machine, Explain concept of T...

Explain concept of Tapping of radial drilling machine Tapping:- Tapping is the method by which internal threads are produced. It is performed either by hand or by machine.

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