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

Platforms - planning of railway stations, Platforms: Platforms are pl...

Platforms: Platforms are places where trains stop and passengers entrain and detrain. For BG operations, the length of the platform should be about 30 m. Figure gives the

Boiler, What is scale formation in case of a boiler

What is scale formation in case of a boiler

Find out the smallest force, Find out the smallest force: A block weig...

Find out the smallest force: A block weighing 800 N is raised up with the help of two 6o wedges B and C of negligible weights as illustrated in Figure. If the coefficient of s

Shielding gas-helium, Helium Helium (He) is an inert, very light mon...

Helium Helium (He) is an inert, very light monoatomic gas, of atomic weight of 4. It is obtained by separation from natural gas. Helium is refined to a purity of min.  99.99

Determine the workdone by the fluid on the piston, Explain Zeroth law and 1...

Explain Zeroth law and 1 st law of thermodynamics. Describe Internal energy and Enthalpy. What is a PMMFK. Give the expression for reversible workdone in a thermodynamic system

Laser welding applications with low power, Laser Welding Applications with ...

Laser Welding Applications with Low Power   For a lap weld joining of AISI 416 stainless steel cap to a AISI 310 stainless steel body, CO 2 Laser with a 575 watts beam out

Evaluate the stresses in the rod, A steel tube of 30 mm external diameter a...

A steel tube of 30 mm external diameter and 20mm internal diameter encloses a copper rod of 15mm diameter to which it is rigidly joined at each end. If at a temperature of 10 o C,

Series spot welding, Series Spot Welding In series welding, a portion o...

Series Spot Welding In series welding, a portion of the secondary current by passes any weld nugget being formed. And This shunt current passes through one of the panels being

Determine the net rate of work output, A piston and a cylinder machine obta...

A piston and a cylinder machine obtains a fluid system, which passes through a complete cycle of four processes. In the mean while a cycle the sum of all heat transfer is 150KJ and

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