Determine the resultant of force system, Mechanical Engineering

Q: Determine the resultant of force system which is acting tangential to the circle of radius 1m as shown in the figure given below. Also find the direction of it and line of action 

Sol.:

∑H = 120 - 150 = -30N

...(i)

 

∑V = 50 - 80 = -30N

...(ii)

1154_Determine the resultant of force system.png

R = (  ∑H2  +  ∑V2)1/2

R = ((-30)2  + (-30)2)1/2

R = 42.43 N                                                                             .......ANS

tanθ   = -30/-30 = 45º                                                                                      .......ANS

Now for finding position of resultant let perpendicular distance of the resultant from center 'O' be'd'.

By applying varignon's theorem, taking moment about the point O.

R.d = -80 X 1 + 150 X 1 + 120 X 1 - 50 X 1

42.42 X d = -80 X 1 + 150 X 1 + 120 X 1 - 50 X 1

                   d = 3.3m                                                                                  .......ANS

 

Posted Date: 10/16/2012 8:03:25 AM | Location : United States







Related Discussions:- Determine the resultant of force system, Assignment Help, Ask Question on Determine the resultant of force system, Get Answer, Expert's Help, Determine the resultant of force system Discussions

Write discussion on Determine the resultant of force system
Your posts are moderated
Related Questions
Initia l Tension in The Belt: Let T o = initial tension in belt T 1  = Tension in tight side T 2  = Tension in slack side T C  = Centrifugal Tension in belt T

Dry Friction: Dry friction (also called as coulomb friction manifests when the contact surfaces are dry and there is tendency for the relative motion. Dry friction is fu

Cranes are used to move materials vertically and laterally in ain area of limited length. They may he operated hydraulically pneumatically or electrically the important ty

what is the practical application of worm and worm gear

Need someone to help in doing a connecting rod for an engine by using abaqus software version12 or 6.11?

What are the problem arise in pile foundation Problems can also arise in providing pile foundations in residual soils which are underlain by sloping rock. Special rock sockets

steady state amplitude

Q. Two coils with self inductances 1H and 4H have a mutual inductance of 1H. The RMS value of current flowing in the two coils is 4A and 1A respectively. Find  the coupling factor

To make strawberry jam, a two-stage process is used as shown in the figure.  First, crushed strawberries and sugar are mixed in a 45:55 ratio by mass. Then the mixture is heated to

Calculate the final velocities of the two masses: A mass of 10 kg moving along with a velocity of 10 m/sec along x direction follows another mass of 4 kg moving with 5 m/sec i