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

Kennedy’s theorem-klein’s construction, Kennedy’s Theorem: According to t...

Kennedy’s Theorem: According to this theorem the relative instantaneous centres on whichever three bodies that contain motion relative to each other are collinear. Higher Pa

Find the minimum power of the pump, Consider the power system as designed b...

Consider the power system as designed below. The duty fluid is water, and has a mass flow 0.75 kg/ s and all piping through which the liquid flows has diameter 1'', while the steam

Relation ship, what is the relation ship between tolrancr grade and manufac...

what is the relation ship between tolrancr grade and manufacturing process ?

Calculate the minimum thickness, A circular thin steel diaphragm having an ...

A circular thin steel diaphragm having an effective diameter of 20mm is clamped around its periphery and is subjected to a uniform gas pressure of 180kN/m^2. Calculate the minim

Describe crank-pin effort, Describe the following terms:- a) Gyroscope ...

Describe the following terms:- a) Gyroscope b) Crank-pin effort c) Piston Effort d) Crank effort e) Thrust on crank shaft bearings.  f) Brake and Dynamometer g

General safety and service tips, In general safety and service tips, you le...

In general safety and service tips, you learnt about general service and safety tips those must be followed while working in workshop. It gives the competency statements useful for

Usage of special tool, USAGE OF SPECIAL TOOL: The common tools used in rep...

USAGE OF SPECIAL TOOL: The common tools used in repair and maintenance of motorcycles were introduced to you in previous sections. Now, we shall learn about some special tools and

SOM, 01-- what is the scope of som? 02-- how can we learn and understand sh...

01-- what is the scope of som? 02-- how can we learn and understand shear force and bending moment diagram?

Shaft in parallel, SHAF T IN PARALLEL: SHAF T IN PARALLEL: The sh...

SHAF T IN PARALLEL: SHAF T IN PARALLEL: The shaft are in parallel when the driving torque is applied at the junction of shafts and resisting torque is at other ends of

Thermal engineering, Air enters the compressor of an ideal air standard Bra...

Air enters the compressor of an ideal air standard Brayton cycle at 100kPa, 250C with a volumetric flow rate of 8m3/s and is compressed to 1000kPa. The temperature at the inlet to

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