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

Determine the total earnings of the worker by rowan premium, Give important...

Give important wage incentive plans for direct workers. Give advantages and limitations of each plan. a) Standard time for a given job is 15 hours and hourly rate of wages is 50

Heat treatment of stainless steels, Heat Treatment of Stainless Steels: ...

Heat Treatment of Stainless Steels: Stainless steels, as other steels, react to heat treatments over broad range. They are subjected to one or more of the given heat treatmen

Net hydrostatic moment on the cylinder, A long cylinder of radius 2 m hinge...

A long cylinder of radius 2 m hinged at point A is used as an automatic gate. When the water level reaches 15 m the gate automatically opens. Determine the magnitude of the net hyd

Determine controllability matrix – open loop control system, An open-loop c...

An open-loop control system has the following state-space model: (a)  Determine the characteristic equation for the open-loop control system. (b)  Determine the characte

Bolting procedures for equipment, Before installing a bolt, stud or nut, th...

Before installing a bolt, stud or nut, threads shall be examined to ensure that there are no incompletely cut threads in the engagement zone (both internal and external) or burns,

Scope of materials for sulfuric acid service, Q. Scope of Materials for sul...

Q. Scope of Materials for sulfuric acid service? This Engineering Practice presents materials of construction commonly used in Sulfuric Acid service. The corrosiveness of sulfu

Force, System of force

System of force

Solids of mechanics, Derive the equation for pure bonding of beam (simply)

Derive the equation for pure bonding of beam (simply)

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