Replace the two parallel forces by single force, Mechanical Engineering

Replace the two parallel forces by single force:

Replace the two parallel forces acting on the control lever by a single equivalent force R.

 

Sol.: Since single equivalent force is resultant.

 

2015_Replace the two parallel forces by single force.png

Let ΣH and ΣV be the horizontal and vertical component of the resultant. Resolving all the forces in horizontal direction

ΣH = 50 - 80 = -30N                           ...(i)

As there is no vertical force that is the resultant is horizontal. Now for finding out point of application of resultant, Let resultant is at distance of 'd' from the point 'O'. Apply varignon's theorem, and by taking moment about point 'O'

R.d = 50 × 80 - 80 × 50  = 0

But     ΣR = ΣH = -30N, so d = 0

d = 0, means point of application of the resultant is 'O'

Therefore an equivalent force 30N acts in negative x-axis at point 'O' which replaces the given force system.

 

Posted Date: 10/17/2012 2:36:01 AM | Location : United States







Related Discussions:- Replace the two parallel forces by single force, Assignment Help, Ask Question on Replace the two parallel forces by single force, Get Answer, Expert's Help, Replace the two parallel forces by single force Discussions

Write discussion on Replace the two parallel forces by single force
Your posts are moderated
Related Questions
Keywords related to Air transportation: Airfield/Airport       :            The area which contains the facilities needed for the operation of aircraft. Apron

Determine equivalent maximum shear stress in spring: A close coiled helical spring contains a stiffness of 10 N/mm. Its length while fully compressed, with adjacent coils touc

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.

Q. What is Passive Fire Protection? Passive fire protection is defined as any fire protection system that, by its nature, plays an inactive role in protecting personnel and pro

actual division 2km is shown as 1 cm in a map.construct a clean scale to measure km which can travel a distance upto 30 km.Show measurement of 18 km in the scale

(a) Derive a mathematical expression for the efficiency of a dual cycle. (b) An oil Engine working on a dual combustion cycle has a compression ratio 10 and cut-off takes place

Difference between path function and point function


Determine the velocity and acceleration of a particle: The motion of a particle is determined by the equation s = t 4  - 3 t 3  + 2 t 2  - 8 , where s is in metres and t in se

the spring k2 is attached to a base that is moving vertically with displacement y=yo sin(wt).assume x>y.derive the equation of motion .find the natural frequency and derive the ste