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 the thermal conductivity, A rod of 80mm diameter and 10mm length ...

A rod of 80mm diameter and 10mm length with thermal conductivity 16W/m-deg protrudes from a surface at 160 o C. The rod is exposed to air at 30 o C with convective coefficient of

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

Kennedy Theorem, the movability of 3 bar mechanism is zero then how can we ...

the movability of 3 bar mechanism is zero then how can we comment on instantaneous centre of it?

Determine modulus of resilience, Determine modulus of resilience: A st...

Determine modulus of resilience: A steel specimen of 10 mm diameter & 50 mm gauge length was tested in tension and following observations were recorded. Load at upper yield

Hydrostatic law, validity on compressible and incompressible fluids

validity on compressible and incompressible fluids

Equipment for resistance welding-protection, EQUIPMENT FOR RESISTANCE WELDI...

EQUIPMENT FOR RESISTANCE WELDING-Protection A circuit breaker can be provided (this equipment can be rated for interrupted capacity) which will cater to a number of resistance

Trusses, Differentiate between perfect, deficient and redundant trusses

Differentiate between perfect, deficient and redundant trusses

Calculate the amount sand-aggregate, Calculate the amount of cement, sand,...

Calculate the amount of cement, sand, aggregate, and water needed to create a concrete mix with a 28-day compressive strength of 34 MPa for a 10 m x 10 m x 0.25 m structure given t

Prove the parallelogram law of forces - mechanics, Prove the parallelogram ...

Prove the parallelogram law of forces: Assume that the two forces P and Q act at a point ' O ' as shown in figure given below. The force P can be represented in magnitud

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