Find out the horizontal and vertical components of the force, Mechanical Engineering

Find out the horizontal and vertical components of the force:

A force of 120 N is exerted on a hook in the ceiling as illustrated in Figure. Find out the horizontal and vertical components of the force.

Solution

2391_Forces.JPG

As θ is to be measured in anticlockwise direction from positive x axis, then clearly θ = 300o.

Fx  = F cos θ = 120 cos 300o  = + 60 N (that means along positive x-direction)

Fy  = F sin θ = 120 sin 300o  = - 103.92 N (that means along negative y-direction)

Thus, the vector components of force F¯ are following,

F¯x  = (+ 60 N) i¯           and      F¯y  = (-103.92 N) j¯

Thus, F¯ can be expressed as

F¯ = + 60 i ¯- 103.92 j¯

 [Note: One may also arrive at these results, through drawing the diagram, and visually, by inspection, fix the direction of the component forces - and working out cosine and sine for 60o.]

Posted Date: 1/28/2013 4:36:40 AM | Location : United States







Related Discussions:- Find out the horizontal and vertical components of the force, Assignment Help, Ask Question on Find out the horizontal and vertical components of the force, Get Answer, Expert's Help, Find out the horizontal and vertical components of the force Discussions

Write discussion on Find out the horizontal and vertical components of the force
Your posts are moderated
Related Questions
Disc clutch friction warpage: Place the disc clutch friction on the surface plate and check for warpage.

(a) Show that all reversible engines operating between the same source and sink will have same efficiency. (b) A reversible heat engine operates between two reservoirs at temper

a) What are major kinds of cutting tools used for machining of metals? b) What important role the chip breakers play during machining of metals? c) Write four important requi

Once vendor drawings are received and piping isometric drawings are prepared, the Mechanical engineer will provide a final stress package to the stress engineer per The stress a


Wrought Al Alloys This aluminium alloys are acquired by addition of Mn and Mg. The Al-Mn and Al-Mg alloys cannot be heat treated. Al-Mn alloy combines high ductility along wi

Enterprise Resource Planning: ERP systems work from a common, central database. ERP integrates all of the compnay's information systems so that each functional area is utilizi

Q. What is Hydrostatic extrusion? • In the hydrostatic extrusion process the billet is completely surrounded by a pressurized liquid, except where the billet contacts the die.


Plate clutch warpage: Place plate clutch on surface plate and check for warpage. Ensure that0.20 mm feeler gauge does not slide freely.