Calculate additional force required to maintain equilibrium, Mechanical Engineering

Assignment Help:

Calculate Additional force required to maintain equilibrium:

For the system shown in figure find the additional single force required to maintain equilibrium.

Sol.: Let and be the angles as shown in figure Resolved all the forces horizontal and in vertical direction. When we add single force the magnitude of which is equal to resultant of force system and direction is opposite the direction of resultant. Let;

 

776_Calculate Additional force required to maintain equilibrium.png

ΣH = Sum of the horizontal component

ΣV = Sum of the vertical component

First

         H = 20cosα + 20cos(360° - β)

ΣH = 20cosα  - 20cosβ                                             ...(i)

Now

ΣV = 20sinα  + 20sin(3600 -  β ) -50 = -50 + 20sinα    + 20sinβ                ...(ii)

Hence resultant of the system = R = (  ∑H2  + ∑V2)1/2

Let the additional single force be 'R' and its magnitude is equal to

R' = R = [(20cosα  - 20cosβ )2 + (-50 + 20sinα  + 20sinβ  )2]1/2    .......ANS


Related Discussions:- Calculate additional force required to maintain equilibrium

Two coplanar forces are acting on the rigid body, Steps for solving the pro...

Steps for solving the problems when more than two coplanar forces are acting on the rigid body: The steps are as; 1. Check the Problem for the concurrent or Non concurren

CIM, CIM in architecture?

CIM in architecture?

Dom, what is offset inertia force

what is offset inertia force

Driveshaft seals, DRIVESHAFT SEALS Packed gland Sealed by several lay...

DRIVESHAFT SEALS Packed gland Sealed by several layers of asbestos or cotton yarn     Sometimes used two boxes with intervening space separated by steam Problems:     T

Thermodynamics, show that energy is property of system

show that energy is property of system

Door strap pull force, A pull up door is stuck in the closed position. A st...

A pull up door is stuck in the closed position. A strap, fastened on the inside bottom and located at the center of the door is pulled outward at an angle of 45 deg above horizonta

Maximum shear stress, An aircraft flap actuator housing made of cast magnes...

An aircraft flap actuator housing made of cast magnesium alloy ZAG3A-T4 with uniaxial yield strength σ Y = 14,000 psi.  At the suspected critical point the calculated state of str

Find out dimension of the cross section of the beam, Q.  A wooden beam of t...

Q.  A wooden beam of the rectangular cross section is subjected to bending moment of 5KNm. If the depth of section is to be double the breadth and stress in wood is not to exceed 6

the entropy change of the universe, Two insulated and identical tanks are ...

Two insulated and identical tanks are filled with nitrogen.  One tank is at 1 bar, 250 o C and the other is at 5 bar, 25 o C.  If the two tanks are connected with a pipe and the v

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