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
Battery Charger: As suggested by the name, it is used to charge a battery. The detailed procedure for charging a battery is given in later units. List the uses of following too

Assets Markets and the LM Curve The assets markets are the markets in which money, bonds, stocks, houses and other forms of wealth are traded. There are a large variety of asse

whats the example of opportunity cost?

Find out the forces in members: A braced support ABC is loaded as illustrated. Find out the forces in members AB, BC, BD and AD by the method of joints. Check out the results

how thw trippaning process work

Fixed type In this set up, the welding head is kept fixed and the movement required during welding is provided through in the jobs to be welded. A typical application of this arr

TWO WHEELER INDUSTRY GROWTH:  In world represents one of the largest two wheeler markets in the world with an estimated size of 5.4 million units a year. Two wheelers are used ext

for a circle,is the net work necessarily zero? for what kind of system will this be the case?

Equations of static equilibrium: In particular, if the forces are parallel and we take z-axis parallel to them, then the first, second and last equations are identically satis

Drivers for a common international standard The drivers for a common international standard included : Global commerce and data exchange; Increasingly complex produ