Determine tension in horizontal rope , Mechanical Engineering

Assignment Help:

Determine tension in horizontal rope:

Q:  A 500N cylinder, 1 m in diameter is loaded between cross pieces AE and BD that make an angle of 60º with each other and are pinned at point C. Determine tension in horizontal rope DE assuming that the cross pieces rest on the smooth floor.    

Sol.: Consider the equilibrium of the entire system.

C is the pin joint, make free body diagram of ball and rod separately.

2RNcos60° = 500                                                                                                                                 ...(i)

RN = 500KN

RA  + RB = 500N                                                                                                                             ...(ii)

Because of symmetry RA  = RB  = 250N

CP = 0.5 cot30° = 0.866m

 

224_Determine tension in horizontal rope.png

 

By taking moment about C,

T × 1.8 cos30° - RN  × CP - RB  × 1.2 sin30° = 0

T × 1.8 cos300 = RN  × CP + RB  × 1.2 sin30°

Putting value of CP, RN, and RB

T = 374N                                                                      .......ANS


Related Discussions:- Determine tension in horizontal rope

Calculate value of force - mechanics, Calculate value of force: A 100...

Calculate value of force: A 100N force that makes an angle of 45º with the horizontal x axis is to be replaced by the two forces, a horizontal force F and a second force

Evaluate the speed of shaft, Two shafts A and B are co-axial. A gear C (50 ...

Two shafts A and B are co-axial. A gear C (50 teeth) is rigidly mounted on shaft A. A compound gear D-E gears with C and an internal gear G. D has 20 teeth and gears with C and E h

Discover the torque on the shaft, Discover the torque on the shaft: A ...

Discover the torque on the shaft: A steel shaft transmits 105 kW at 160 rpm. If the shaft is 100 mm diameter, discover the torque on the shaft and the maximum shear stress ind

Describe organic binders and its working, Q. Describe Organic binders and i...

Q. Describe Organic binders and its working? Organic binders: The binders are most frequently used in core making. Cereal binders are obtained from wheat, corn or rye; resins

Explain about hydrostatic test, Q. Explain about Hydrostatic Test? All ...

Q. Explain about Hydrostatic Test? All paragraph must be met when the hydrostatic test is employed. UG-99(b), including footnote 32, shall be considered to be the standard hyd

Locomotive boiler, advantages and disadvantages of locomotive boiler

advantages and disadvantages of locomotive boiler

Tensile stress, T ensile Stress: The stress induced in a body, when ...

T ensile Stress: The stress induced in a body, when subjected to two equal and opposite pulls as shown in figure (a) as a result of which there is an increase in length,

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