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
Q. Waste Water Treatment? Typically, there are a number of waste water streams which need to be treated before disposal to land or water. Depending on the nature of contaminati

Information Phase: Step: To secure all and complete information and gather facts and from best sources.   Our project is selected based on the current problem face by the


Determine the maximum stress developed in the beam: An I section in Figure is utilized as a beam. The beam is subjected to a bending moment of 2.5 kN m at its neutral axis. De

1.5kw/ton of refrigeration is required to maintain temp of -40c in the refrigerator.if the cycle works on carnot cycle.determine 1.cop,2.sink temp 3. heat rejejected to the sink/to

Find velocity of the vehicle: A car having mass 400kg is moving with velocity of 20m/sec. A force of 200N that acts on it for 2 mins. Find velocity of the vehicle: (1) W

Find out angular displacement of a partical: The angular displacement of a rotating body starting from rest is defined by φ (t ) = 4 t 3   - 3 t 2 . Find out its angular di

What is the objective of hydrostatic sensor paver machine To eliminate the problem in screw conveyer extension of hydrostatic sensor paver machine as per screed width" The p


Engine Oil Replacement and top up steps • The engine oil should be changed only when motorcycle has run through the prescribed kilometers. • Change the engine oil every 4000 k