Calculate tension in limbs, Mechanical Engineering

Assignment Help:

Calculate tension in limbs:

Q : A horizontal drum of belt drive carries the belt over semicircle around it. It is rotated counter clockwise to transmit a torque of 300N-m. If coefficient of friction between the belt and rope is 0.3, calculate tension in limbs 1 and 2 of belt shown in figure, and reaction on bearing. The drum is having mass of 20Kg and the belt is assumed to be mass less.

 

1841_Calculate tension in limbs1.png

Sol: Given: Torque(t) = 300N-m

Coff. of friction(µ) = 0.3

Diameter of Drum (D) = 1m, R = 0.5m

Mass of drum(m) = 20Kg.

Since angle of contact = p rad Torque = (T1  - T2).R

300 = (T1  - T2) X 0.5

T1- T2  = 600N                                                                                                                              ...(i)

And,     T1/T2  = eµθ

T1/T2  = e(0.3)p

T1 = 2.566T2                                                                                                                               ...(ii)

Solve (i) and (ii)

We get,

T1  = 983.14N                                                                .......ANS

T2  = 383.14N   .......ANS

Now reaction on bearing is opposite to mass of body, and it is equal to

R = T1  + T2  + mg

R = 983.14 + 383.14 + 20 X 9.81

R = 1562.484N                                                            .......ANS


Related Discussions:- Calculate tension in limbs

What are the elements of theory of vibrations, What are the Elements of The...

What are the Elements of Theory of Vibrations All bodies possessing mass and elasticity can vibrate or undergo vibratory motion. Let us understand a few basic definitions used

Blasting abrasive, Blasting Abrasive: Sand had been use widely before ...

Blasting Abrasive: Sand had been use widely before new abrasive media invented. Today, manufacturer had more choices and better options in choosing blasting media for their ow

Thermal reservoir - thermodynamics, Thermal Reservoir - Thermodynamics: ...

Thermal Reservoir - Thermodynamics: Thermal Reservoir. A thermal reservoir is the part of environment that can exchange heat energy with system. It has adequately large capa

Find out the moment of inertia of a semicircle, Find out the moment of ine...

Find out the moment of inertia  of a semicircle: Find out the M. I. of a semicircle ABM around its periphery AB and also around centroidal axes x and y as illustrated in Figur

Throttle free play adjustment of motor cycle, Throttle Free Play Adjustmen:...

Throttle Free Play Adjustmen: A smooth operation of the throttle ensures proper acceleration of the vehicle according to the requirement of the rider. If the throttle cable is kin

Automobile, what is internal combustion engine

what is internal combustion engine

Steam turbines, The steam that leaves the super-heater is expanded from 130...

The steam that leaves the super-heater is expanded from 130bar at 535°C to 25.2bar at 310°C in a high pressure turbine. The steam from the exit of the HP turbine is reheated to 535

Determine the horizontal component of the force, Determine the horizontal c...

Determine the horizontal component of the force: A force of 80 N is working on a bolt as illustrated in Figure. Determine the horizontal and vertical components of the force.

Name the drivers for a common international standard, Drivers for a common ...

Drivers for a common international standard The drivers for a common international standard included : Global commerce and data exchange; Increasingly complex produ

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